# aktuelle Professuren

### Das Institut für Mathematik. Wer wir sind.

Das Institut für Mathematik gehört zu den acht Instituten der Mathematisch-Naturwissenschaftlichen Fakultät. Die Fakultät ist dabei die größte der Universität Potsdam. Derzeit gibt es 13 Professuren am Institut für Mathematik in Potsdam. Die Arbeitsgruppen vertreten ein breites Spektrum der mathematischen Lehre und aktueller mathematischer Forschungsrichtungen.

Folgende Professuren gibt es im Institut:
Algebra und Zahlentheorie | Prof. Dr. Gräter
Analysis | Prof. Dr. Paycha & apl. Prof. Dr. Tarkhanov
Angewandte Mathematik | Prof. Dr. Holschneider & apl. Prof. Dr. Zöller
Didaktik der Mathematik | Prof. Dr. Kortenkamp
Erdmagnetfeld | Prof. Dr. Stolle
Geometrie | Prof. Dr. Bär & apl. Prof. Dr. Andersson
Graphentheorie | Prof. Dr. Keller
Mathematische Modellierung und Systembiologie | Prof. Dr. Huisinga
Mathematische Physik | Prof. Dr. Klein
Mathematische Statistik | Prof. Dr. Blanchard & apl. Prof. Dr. Liero
Numerische Mathematik | Prof. Dr. Reich & apl. Prof. Dr. Böckmann
Partielle Differentialgleichungen | Prof. Dr. Metzger
Wahrscheinlichkeitstheorie | Prof. Dr. Roelly
Emeriti und Ehemalige

# Forschungsverbünde

Mehrere Arbeitsgruppen des Instituts für Mathematik sind unter anderem an folgenden Forschungsverbünden beteiligt:

SFB 1294 "Data Assimilation"
Der Sonderforschungsbereich 1294 "Data Assimilation" wird seit 2017 von der Deutschen Forschungsgemeinschaft (DFG) gefördert. Beteiligt sind folgende Institutionen: Universität Potsdam, Humboldt-Universität zu Berlin, GFZ Potsdam, TU Berlin und WIAS-Institut Berlin. Leitung am Institut für Mathematik der Universität Potsdam.

SPP 2026 "Geometry at Infinity"
Das Schwerpunktprogramm 2026 "Geometry at Infinity" wird seit 2017 von der Deutschen Forschungsgemeinschaft (DFG) gefördert. Beteiligt sind Wissenschaftler und Wissenschaftlerinnen aus mehr als 20 Instituten in Deutschland und der Schweiz. Leitung an den Instituten für Mathematik der Universität Augsburg und der Universität Potsdam.

## neue Publikationen

2019 | Stability for linearized gravity on the Kerr spacetime | Lars Andersson, Thomas Bäckdahl, Pieter Blue, Siyuan Ma Link zum Preprint

### Stability for linearized gravity on the Kerr spacetime

#### Autoren: Lars Andersson, Thomas Bäckdahl, Pieter Blue, Siyuan Ma (2019)

In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the Kerr black hole exterior. The estimates are valid for the full, subextreme range of Kerr black holes, provided integrated energy estimates for the Teukolsky Master Equation holds. For slowly rotating Kerr backgrounds, such estimates are known to hold, due to the work of one of the authors arXiv:1708.07385. The results in this paper thus provide the first stability results for linearized gravity on the Kerr background, in the slowly rotating case, and reduce the linearized stability problem for the full subextreme range to proving integrated energy estimates for the Teukolsky equation. This constitutes an essential step towards a proof of the black hole stability conjecture, i.e. the statement that the Kerr family is dynamically stable, one of the central open problems in general relativity.
The proof relies on three key steps. First, there are energy decay estimates for the Teukolsky equation, proved by applying weighted multiplier estimates to a system of spin-weighted wave equations derived from the Teukolsky equation, and making use of the pigeonhole principle for the resulting hierarchy of weighted energy estimates. Second, working in the outgoing radiation gauge, the linearized Einstein equations are written as a system of transport equations, driven by one of the Teukolsky scalars. Third, expansions for the relevant curvature, connection, and metric components can be made near null infinity. An analysis of the dynamics on future null infinity, together with the Teukolsky Starobinsky Identity plays an important role in the argument.

2019 | An overview of the gravitational spin Hall effect | Marius A. Oancea, Claudio F. Paganini, Jérémie Joudioux, Lars Andersson Link zum Preprint

### An overview of the gravitational spin Hall effect

#### Autoren: Marius A. Oancea, Claudio F. Paganini, Jérémie Joudioux, Lars Andersson (2019)

In General Relativity, the propagation of electromagnetic waves is usually described by the vacuum Maxwell's equations on a fixed curved background. In the limit of infinitely high frequencies, electromagnetic waves can be localized as point particles, following null geodesics. However, at finite frequencies, electromagnetic waves can no longer be treated as point particles following null geodesics, and the spin angular momentum of light comes into play, via the spin-curvature coupling. We will refer to this effect as the gravitational spin Hall effect of light. Here, we review a series of theoretical results related to the gravitational spin Hall effect of light, and we compare the predictions of different models. The analogy with the spin Hall effect in Optics is also explored, since in this field the effect is well understood, both theoretically and experimentally.

2019 | The Zilch Electromagnetic Conservation Law in Variational Characteristic Form | Sajad Aghapour, Lars Andersson, Kjell Rosquist Link zum Preprint

### The Zilch Electromagnetic Conservation Law in Variational Characteristic Form

In this paper we consider the zilch conservation laws for Maxwell theory and demonstrate that in the duality-symmetric version of Maxwell theory, the zilch arises as a Noether current for a variational symmetry of the duality symmetric Lagrangian which we identify through an application of the reverse of the Noether theorem. A variational symmetry leaves Lagrangian invariant up to a total divergence, without restricting to solutions of the field equations. This fact was previously known only for the so-called chirality current, i.e. the 00-component of zilch.

2019 | Comment on Jaki et al., A proposal for a new PhD level curriculum on quantitative methods for drug development. Pharmaceutical Statistics 17 (5):593–606, Sep/Oct 2018, DOI: 10.1002/pst.1873 | A. Krause, C. Kloft, W. Huisinga, M. Karlsson, J. Pinheiro, R. Bies, J. Rogers, F. Mentré, B.J. Musser, ASA Special Interest Group on Statistics and Pharmacometrics/ASA Special Interest Group on Statistics and Pharmacometrics (SIG SxP) Zeitschrift: Pharmaceutical Statistics Link zur Publikation

### Comment on Jaki et al., A proposal for a new PhD level curriculum on quantitative methods for drug development. Pharmaceutical Statistics 17 (5):593–606, Sep/Oct 2018, DOI: 10.1002/pst.1873

#### Autoren: A. Krause, C. Kloft, W. Huisinga, M. Karlsson, J. Pinheiro, R. Bies, J. Rogers, F. Mentré, B.J. Musser, ASA Special Interest Group on Statistics and Pharmacometrics/ASA Special Interest Group on Statistics and Pharmacometrics (SIG SxP) (2019)

Zeitschrift:
Pharmaceutical Statistics

2019 | The circadian rhythm of corticosteroid-binding globulin has little impact on cortisol exposure after hydrocortisone dosing | J. Melin, N. Hartung, Z.P. Parra-Guillen, M.J. Whitaker, R.J. Ross, C. Kloft Zeitschrift: Clinical Endocrinology Link zur Publikation

### The circadian rhythm of corticosteroid-binding globulin has little impact on cortisol exposure after hydrocortisone dosing

#### Autoren: J. Melin, N. Hartung, Z.P. Parra-Guillen, M.J. Whitaker, R.J. Ross, C. Kloft (2019)

Zeitschrift:
Clinical Endocrinology

2019 | On the asymptotic behavior of static perfect fluids | Lars Andersson, Annegret Y. Burtscher Zeitschrift: Annales Henri Poincaré Verlag: Springer Seiten: 813-857 Band: 20, no. 3 Link zur Publikation, Link zum Preprint

### On the asymptotic behavior of static perfect fluids

#### Autoren: Lars Andersson, Annegret Y. Burtscher (2019)

Static spherically symmetric solutions to the Einstein-Euler equations with prescribed central densities are known to exist, be unique and smooth for reasonable equations of state. Some criteria are also available to decide whether solutions have finite extent (stars with a vacuum exterior) or infinite extent. In the latter case, the matter extends globally with the density approaching zero at infinity. The asymptotic behavior largely depends on the equation of state of the fluid and is still poorly understood. While a few such unbounded solutions are known to be asymptotically flat with finite ADM mass, the vast majority are not. We provide a full geometric description of the asymptotic behavior of static spherically symmetric perfect fluid solutions with linear and polytropic-type equations of state. In order to capture the asymptotic behavior we introduce a notion of scaled quasi-asymptotic flatness, which encodes a form of asymptotic conicality. In particular, these spacetimes are asymptotically simple.

Zeitschrift:
Annales Henri Poincaré
Verlag:
Springer
Seiten:
813-857
Band:
20, no. 3

2019 | The curl operator on odd-dimensional manifolds | Christian Bär Zeitschrift: J. Math. Phys. Seiten: 031501 Band: 60 Link zur Publikation, Link zum Preprint

### The curl operator on odd-dimensional manifolds

#### Autoren: Christian Bär (2019)

We study the spectral properties of curl, a linear differential operator of first order acting on differential forms of appropriate degree on an odd-dimensional closed oriented Riemannian manifold. In three dimensions its eigenvalues are the electromagnetic oscillation frequencies in vacuum without external sources. In general, the spectrum consists of the eigenvalue 0 with infinite multiplicity and further real discrete eigenvalues of finite multiplicity. We compute the Weyl asymptotics and study the zeta-function. We give a sharp lower eigenvalue bound for positively curved manifolds and analyze the equality case. Finally, we compute the spectrum for flat tori, round spheres and 3-dimensional spherical space forms.

Zeitschrift:
J. Math. Phys.
Seiten:
031501
Band:
60

2019 | New identities for linearized gravity on the Kerr spacetime | Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl Zeitschrift: Physical Review D Verlag: American Physical Society Seiten: 044043 Band: 99 Link zur Publikation, Link zum Preprint

### New identities for linearized gravity on the Kerr spacetime

#### Autoren: Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl (2019)

In this paper we derive a differential identity for linearized gravity on the Kerr spacetime and more generally on vacuum spacetimes of Petrov type D. We show that a linear combination of second derivatives of the linearized Weyl tensor can be formed into a complex symmetric 2-tensor Mab which solves the linearized Einstein equations. The identity makes this manifest by relating Mab to two terms solving the linearized Einstein equations by construction. The self-dual Weyl curvature of Mab gives a covariant version of the Teukolsky-Starobinsky identities for linearized gravity which, in addition to the two classical identities for linearized Weyl scalars with extreme spin weights, includes three additional equations. In particular, they are not consequences of the classical Teukolsky-Starobinsky identities, but are additional integrability conditions for linearized gravity. The result has direct application in the construction of symmetry operators and also yields a set of nontrivial gauge invariants for linearized gravity.

Zeitschrift:
Physical Review D
Verlag:
American Physical Society
Seiten:
044043
Band:
99

2018 | Helicity and spin conservation in Maxwell theory and Linearized Gravity | Lars Andersson, Sajad Aghapour, Reebhu Bhattacharyya Link zum Preprint

### Helicity and spin conservation in Maxwell theory and Linearized Gravity

A duality symmetric formulation of linearized gravity has been introduced by Barnett and used to show the conservation of helicity. However, the relation between helicity and spin as well as the separate conservation of the spin and orbital parts of angular momentum, which is known to hold in Maxwell theory, was not considered. These conservation laws are known to follow from the conservation of the so-called helicity array, an analog of the zilch tensor, which includes helicity, spin, and spin-flux or infra-zilch. In the present paper we prove the conservation of spin and orbital angular momentum for linearized gravity on Minkowski space, and construct the analog of the helicity array for linearized gravity.

2018 | Functional calculus and harmonic analysis in geometry | Lashi Bandara Link zum Preprint

### Functional calculus and harmonic analysis in geometry

#### Autoren: Lashi Bandara (2018)

In this short survey article, we showcase a number of non-trivial geometric problems that have recently been resolved by marrying methods from functional calculus and real-variable harmonic analysis. We give a brief description of these methods as well as their interplay. This survey is succinct rather than comprehensive, and its aim is to inspire geometers and analysts alike to study these methods so that they can be adapted and potentially applied more widely.

2018 | Shnol-type theorem for the Agmon ground state | Siegfried Beckus, Yehuda Pinchover Zeitschrift: Journal of Spectral Theory Link zum Preprint

### Shnol-type theorem for the Agmon ground state

#### Autoren: Siegfried Beckus, Yehuda Pinchover (2018)

Zeitschrift:
Journal of Spectral Theory

2018 | Delone dynamical systems and spectral convergence | Siegfried Beckus, Felix Pogorzelski Zeitschrift: Ergodic Theory and Dynamical Systems Link zur Publikation, Link zum Preprint

### Delone dynamical systems and spectral convergence

#### Autoren: Siegfried Beckus, Felix Pogorzelski (2018)

Zeitschrift:
Ergodic Theory and Dynamical Systems

2018 | Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary | Lashi Bandara, Medet Nursultanov, Julie Rowlett Link zum Preprint

### Eigenvalue asymptotics for weighted Laplace equations on rough Riemannian manifolds with boundary

#### Autoren: Lashi Bandara, Medet Nursultanov, Julie Rowlett (2018)

Our topological setting is a smooth compact manifold of dimension two or higher with smooth boundary. Although this underlying topological structure is smooth, the Riemannian metric tensor is only assumed to be bounded and measurable. This is known as a rough Riemannian manifold. For a large class of boundary conditions we demonstrate a Weyl law for the asymptotics of the eigenvalues of the Laplacian associated to a rough metric. Moreover, we obtain eigenvalue asymptotics for weighted Laplace equations associated to a rough metric. Of particular novelty is that the weight function is not assumed to be of fixed sign, and thus the eigenvalues may be both positive and negative. Key ingredients in the proofs were demonstrated by Birman and Solomjak nearly fifty years ago in their seminal work on eigenvalue asymptotics. In addition to determining the eigenvalue asymptotics in the rough Riemannian manifold setting for weighted Laplace equations, we also wish to promote their achievements which may have further applications to modern problems.

2018 | Lineare Algebra und analytische Geometrie | Christian Bär Verlag: Springer Link zur Publikation

### Lineare Algebra und analytische Geometrie

#### Autoren: Christian Bär (2018)

Das Werk bietet eine Einführung in die lineare Algebra und die analytische Geometrie und enthält Material für eine zweisemestrige Vorlesung. Es beginnt mit einem Kapitel, das allgemein in die mathematische Denkweise und Beweistechniken einführt, um dann über lineare Gleichungssysteme zur linearen Algebra überzuleiten. Besonderer Wert wird auf eine enge Verzahnung von algebraischen und geometrischen Konzepten gelegt, zum einen um eine gute geometrische Intuition für algebraische Begriffe zu entwickeln, zum anderen um elegante algebraische Beweismethoden für geometrische Sätze einsetzen zu können. Schließlich sind interaktive Übungsseiten und Illustrationen integriert, die zu einem aktiven Studium anregen.

Verlag:
Springer

2018 | Spectral continuity for aperiodic quantum systems I. General theory | Siegfried Beckus, Jean Bellissard, Giuseppe De Nittis Zeitschrift: Journal of Functional Analysis Reihe: 275 Seiten: 2917 - 2977 Link zur Publikation, Link zum Preprint

### Spectral continuity for aperiodic quantum systems I. General theory

#### Autoren: Siegfried Beckus, Jean Bellissard, Giuseppe De Nittis (2018)

Zeitschrift:
Journal of Functional Analysis
Reihe:
275
Seiten:
2917 - 2977

2018 | Note on spectra of non-selfadjoint operators over dynamical system | Siegfried Beckus, Daniel Lenz,Marko Lindner,Christian Seifert Zeitschrift: Proceedings of the Edinburgh Mathematical Society Reihe: 61 Seiten: 371 -386 Link zur Publikation, Link zum Preprint

### Note on spectra of non-selfadjoint operators over dynamical system

#### Autoren: Siegfried Beckus, Daniel Lenz,Marko Lindner,Christian Seifert (2018)

We consider equivariant continuous families of discrete one-dimensional operators over arbitrary dynamical systems. We introduce the concept of a pseudo-ergodic element of a dynamical system. We then show that all operators associated to pseudo-ergodic elements have the same spectrum and that this spectrum agrees with their essential spectrum. As a consequence we obtain that the spectrum is constant and agrees with the essential spectrum for all elements in the dynamical system if minimality holds.

Zeitschrift:
Proceedings of the Edinburgh Mathematical Society
Reihe:
61
Seiten:
371 -386

2018 | Scattering the Geometry of Weighted Graphs | Güneysu, Batu; Keller, Matthias Zeitschrift: Math. Phys. Anal. Geom. Seiten: 21-28 Band: 21 Link zur Publikation, Link zum Preprint

### Scattering the Geometry of Weighted Graphs

#### Autoren: Güneysu, Batu; Keller, Matthias (2018)

Given two weighted graphs (X, bk, mk), k = 1,2 with b1b2 and m1m2, we prove a weighted L1-criterion for the existence and completeness of the wave operators W±(H2, H1, I1,2), where Hk denotes the natural Laplacian in 2(X, mk) w.r.t. (X, bk, mk) and I1,2 the trivial identification of 2(X, m1) with 2(X, m2). In particular, this entails a general criterion for the absolutely continuous spectra of H1 and H2 to be equal.

Zeitschrift:
Math. Phys. Anal. Geom.
Seiten:
21-28
Band:
21

2018 | Local Flexibility for Open Partial Differential Relations | Christian Bär, Bernhard Hanke Link zum Preprint

### Local Flexibility for Open Partial Differential Relations

#### Autoren: Christian Bär, Bernhard Hanke (2018)

We show that local deformations, near closed subsets, of solutions to open partial differential relations can be extended to global deformations, provided all but the highest derivatives stay constant along the subset. The applicability of this general result is illustrated by a number of examples, dealing with convex embeddings of hypersurfaces, differential forms, and lapse functions in Lorentzian geometry.
The main application is a general approximation result by sections which have very restrictive local properties an open dense subsets. This shows, for instance, that given any K every manifold of dimension at least two carries a complete C1,1-metric which, on a dense open subset, is smooth with constant sectional curvature K. Of course this is impossible for C2-metrics in general.

2018 | The Dirac operator under collapse to a smooth limit space | Saskia Roos Link zum Preprint

### The Dirac operator under collapse to a smooth limit space

Let (Mi,gi)i∈N be a sequence of spin manifolds with uniform bounded curvature and diameter that converges to a lower dimensional Riemannian manifold (B,h) in the Gromov-Hausdorff topology. Lott showed that the spectrum converges to the spectrum of a certain first order elliptic differential operator D on B. In this article we give an explicit description of D. We conclude that D is self-adjoint and characterize the special case where D is the Dirac operator on B.

2018 | Scalar curvature and the multiconformal class of a direct product Riemannian manifold | Nobuhiko Otoba, Saskia Roos Link zum Preprint

### Scalar curvature and the multiconformal class of a direct product Riemannian manifold

#### Autoren: Nobuhiko Otoba, Saskia Roos (2018)

For a closed, connected direct product Riemannian manifold (M,g)=(M1×⋯×Ml,g1⊕⋯⊕gl), we define its multiconformal class [[g]] as the totality {f12g1⊕⋯⊕fl2gl} of all Riemannian metrics obtained from multiplying the metric gi of each factor Mi by a function fi2>0 on the total space M. A multiconformal class [[g]] contains not only all warped product type deformations of g but also the whole conformal class [g~] of every g~∈[[g]]. In this article, we prove that [[g]] carries a metric of positive scalar curvature if and only if the conformal class of some factor (Mi,gi) does, under the technical assumption dimMi≥2. We also show that, even in the case where every factor (Mi,gi) has positive scalar curvature, [[g]] carries a metric of scalar curvature constantly equal to −1 and with arbitrarily large volume, provided l≥2 and dimM≥3. In this case, such negative scalar curvature metrics within [[g]] for l=2 cannot be of any warped product type.

2018 | Dirac operators with W1,∞ -potential on collapsing sequences losing one dimension in the limit | Saskia Roos Zeitschrift: Manuscripta Mathematica Verlag: Springer Seiten: 1-24 Link zur Publikation, Link zum Preprint

### Dirac operators with W1,∞ -potential on collapsing sequences losing one dimension in the limit

We study the behavior of the spectrum of the Dirac operator together with a symmetric W1,∞-potential on a collapsing sequence of spin manifolds with bounded sectional curvature and diameter losing one dimension in the limit. If there is an induced spin or pin structure on the limit space N, then there are eigenvalues that converge to the spectrum of a first order differential operator D on N together with a symmetric W1,∞-potential. In the case of an orientable limit space N, D is the spin Dirac operator DN on N if the dimension of the limit space is even and if the dimension of the limit space is odd, then D=DN⊕−DN.

Zeitschrift:
Manuscripta Mathematica
Verlag:
Springer
Seiten:
1-24

2018 | Mass functions of a compact manifold | Andreas Hermann, Emmanuel Humbert Link zum Preprint

### Mass functions of a compact manifold

#### Autoren: Andreas Hermann, Emmanuel Humbert (2018)

Let M be a compact manifold of dimension n. In this paper, we introduce the mass function a≥0→XM+(a) (resp. a≥0→XM-(a)) which is defined as the supremum (resp. infimum) of the masses of all metrics on M whose Yamabe constant is larger than a and which are flat on a ball of radius 1 and centered at a point p∈M. Here, the mass of a metric flat around p is the constant term in the expansion of the Green function of the conformal Laplacian at p. We show that these functions are well defined and have many properties which allow to obtain applications to the Yamabe invariant (i.e. the supremum of Yamabe constants over the set of all metrics on M).

2018 | Optimal Hardy inequalities for Schrödinger operators on graphs | Keller, Matthias; Pinchover, Yehuda; Pogorzelski, Felix Zeitschrift: Comm. Math. Phys. Seiten: 767–790 Band: 358 Link zur Publikation, Link zum Preprint

### Optimal Hardy inequalities for Schrödinger operators on graphs

#### Autoren: Keller, Matthias; Pinchover, Yehuda; Pogorzelski, Felix (2018)

For a given subcritical discrete Schr\"odinger operator $H$ on a  weighted infinite graph $X$, we construct a Hardy-weight $w$ which is {\em optimal} in the following sense. The operator $H - \lambda w$ is subcritical in $X$ for all $\lambda < 1$, null-critical in $X$ for $\lambda = 1$, and supercritical near any neighborhood of infinity in $X$ for any $\lambda > 1$.  Our results rely on a criticality theory for Schr\"odinger operators on general weighted graphs.

Zeitschrift:
Comm. Math. Phys.
Seiten:
767–790
Band:
358

2018 | The Kazdan-Warner equation on canonically compactifiable graphs | Keller, Matthias; Schwarz, Michael Zeitschrift: Calc. Var. Partial Differential Equations Seiten: 18 pp. Band: 57 Link zur Publikation, Link zum Preprint,

### The Kazdan-Warner equation on canonically compactifiable graphs

#### Autoren: Keller, Matthias; Schwarz, Michael (2018)

We study the Kazdan-Warner equation on canonically compactifiable graphs. These graphs are distinguished as analytic properties of Laplacians on these graphs carry a strong resemblance to Laplacians on open pre-compact manifolds.

Zeitschrift:
Calc. Var. Partial Differential Equations
Seiten:
18 pp.
Band:
57

2018 | Local foliation of manifolds by surfaces of Willmore type | Tobias Lamm, Jan Metzger, Felix Schulze Link zum Preprint

### Local foliation of manifolds by surfaces of Willmore type

#### Autoren: Tobias Lamm, Jan Metzger, Felix Schulze (2018)

We show the existence of a local foliation of a three dimensional Riemannian manifold by critical points of the Willmore functional subject to a small area constraint around non-degenerate critical points of the scalar curvature. This adapts a method developed by Rugang Ye to construct foliations by surfaces of constant mean curvature.

2018 | ShapeRotator: An R tool for standardized rigid rotations of articulated three‐dimensional structures with application for geometric morphometrics | Marta Vidal-García, Lashi Bandara, J. Scott Keogh Zeitschrift: Ecology and Evolution Verlag: John Wiley & Sons Ltd. Seiten: 4669-4675 Band: 2018;8 Link zur Publikation

### ShapeRotator: An R tool for standardized rigid rotations of articulated three‐dimensional structures with application for geometric morphometrics

#### Autoren: Marta Vidal-García, Lashi Bandara, J. Scott Keogh (2018)

The quantification of complex morphological patterns typically involves comprehensive shape and size analyses, usually obtained by gathering morphological data from all the structures that capture the phenotypic diversity of an organism or object. Articulated structures are a critical component of overall phenotypic diversity, but data gathered from these structures are difficult to incorporate into modern analyses because of the complexities associated with jointly quantifying 3D shape in multiple structures. While there are existing methods for analyzing shape variation in articulated structures in two‐dimensional (2D) space, these methods do not work in 3D, a rapidly growing area of capability and research. Here, we describe a simple geometric rigid rotation approach that removes the effect of random translation and rotation, enabling the morphological analysis of 3D articulated structures. Our method is based on Cartesian coordinates in 3D space, so it can be applied to any morphometric problem that also uses 3D coordinates (e.g., spherical harmonics). We demonstrate the method by applying it to a landmark‐based dataset for analyzing shape variation using geometric morphometrics. We have developed an R tool (ShapeRotator) so that the method can be easily implemented in the commonly used R package geomorph and MorphoJ software. This method will be a valuable tool for 3D morphological analyses in articulated structures by allowing an exhaustive examination of shape and size diversity.

Zeitschrift:
Ecology and Evolution
Verlag:
John Wiley & Sons Ltd.
Seiten:
4669-4675
Band:
2018;8

2018 | Understanding and reducing complex systems pharmacology models based on a novel input-response index | J. Knöchel, C. Kloft, W. Huisinga Zeitschrift: J Pharmacokinet Pharmacodyn Seiten: 139-157 Band: 45 Link zur Publikation, Suppl Material (Matlab code)

### Understanding and reducing complex systems pharmacology models based on a novel input-response index

#### Autoren: J. Knöchel, C. Kloft, W. Huisinga (2018)

Zeitschrift:
J Pharmacokinet Pharmacodyn
Seiten:
139-157
Band:
45

2018 | Stochastic and Deterministic Models for the Metastatic Emission Process: Formalisms and Crosslinks | C. Gomez, N. Hartung Reihe: Methods Mol. Biol. Buchtitel: von Stechow L. (eds) Cancer Systems Biology Seiten: 193-224 Band: 1711 Link zur Publikation

### Stochastic and Deterministic Models for the Metastatic Emission Process: Formalisms and Crosslinks

#### Autoren: C. Gomez, N. Hartung (2018)

Reihe:
Methods Mol. Biol.
Buchtitel:
von Stechow L. (eds) Cancer Systems Biology
Seiten:
193-224
Band:
1711

2018 | Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator | Nicolas Garcia Trillos, Moritz Gerlach, Matthias Hein, Dejan Slepcev Link zum Preprint

### Error estimates for spectral convergence of the graph Laplacian on random geometric graphs towards the Laplace--Beltrami operator

#### Autoren: Nicolas Garcia Trillos, Moritz Gerlach, Matthias Hein, Dejan Slepcev (2018)

2018 | Focal Points at Infinity for Short-Range Scattering Trajectories | Horst Hohberger, Markus Klein Zeitschrift: J. Shanghai Jia Tong Univ. (Sci.) Seiten: 1-12 Band: 23(1) Link zur Publikation

### Focal Points at Infinity for Short-Range Scattering Trajectories

#### Autoren: Horst Hohberger, Markus Klein (2018)

Classical scattering trajectories are known to form a Lagrangian manifold in euclidean phase space, which allows the classification of local focal points for sufficiently small dimensions. For the case of a short-range potential, we show that the natural description of focal points at infinity is a Lagrangian manifold in the cotangent bundle of the sphere and establish the relationship between focal points at infinity and the projection singularities of the manifold.

Zeitschrift:
J. Shanghai Jia Tong Univ. (Sci.)
Seiten:
1-12
Band:
23(1)

2018 | Conditioned point processes with application to Lévy bridges | Giovanni Conforti, Tetiana Kosenkova, Sylvie Roelly Zeitschrift: Journal of Theoretical Probability, DOI 10.1007/s10959-018-0863-8 Link zur Publikation, Link zum Preprint

### Conditioned point processes with application to Lévy bridges

#### Autoren: Giovanni Conforti, Tetiana Kosenkova, Sylvie Roelly (2018)

Our first result concerns a characterisation by means of  a functional equation of Poisson point processes conditioned by the value of their first moment. It leads to a generalised version of Mecke's formula.  En passant, it also allows to gain quantitative results about stochastic domination for Poisson point processes under linear constraints.
Since bridges of a pure jump Lévy process in R^d with a height h can be interpreted as a Poisson point process on space-time conditioned by pinning its first moment to h, our approach allows us to characterize bridges of Lévy processes by means of a functional equation.
The latter result has two direct applications:
first we obtain a constructive and simple way to sample Lévy bridge dynamics; second it allows to estimate the number of jumps for such bridges. We finally show that our method remains valid for linearly perturbed Lévy processes like periodic Ornstein-Uhlenbeck processes driven by Lévy noise.

Zeitschrift:
Journal of Theoretical Probability, DOI 10.1007/s10959-018-0863-8

2018 | Packungen aus Kreisscheiben | Charlotte Dombrowsky, Myriam Fradon, Sylvie Roelly Link zum Preprint

### Packungen aus Kreisscheiben

#### Autoren: Charlotte Dombrowsky, Myriam Fradon, Sylvie Roelly (2018)

Wir beschäftigen uns mit Konfigurationen von gleichgroßen Kreisscheiben in einer Ebene, die sich nicht überlappen. Wir sind insbesondere daran interessiert, die Konfiguration(en) zu finden, die eine minimale quadratische Energie besitzen.
In der Tat, ist die genaue Geometrie der optimalen Konfiguration(en) nur für sehr kleine Systeme schon bekannt. Wir schlagen hier eine  wahrscheinlichkeitstheoretische Methode vor, die  effizient für Systeme jeder Größe ist.

2018 | The Tunneling Effect for a Class of Difference Operators | Markus Klein, Elke Rosenberger Zeitschrift: Reviews in Mathematical Physics (RMP) Verlag: World Scientific Publishing Seiten: 1830002 (1-42) Band: Vol.30, No. 4 Link zur Publikation

### The Tunneling Effect for a Class of Difference Operators

#### Autoren: Markus Klein, Elke Rosenberger (2018)

We analyze a general class of self-adjoint difference operators

on , whereMimetex cannot convert this formula is a multi-well

potential and ε is a small parameter.

We review some preparatory results on tunneling of the authors, needed for
our presentation of new sharp results on tunneling on the level of complete asymptotic expansions.

The wells are decoupled by introducing certain Dirichlet operators on regions containing only one
potential well. Then the eigenvalue problem for the Hamiltonian is treated as a small perturbation of these comparison
problems.
After constructing a Finslerian distance d induced by we show that Dirichlet eigenfunctions decay exponentially with a rate
controlled by this distance to the well. It follows with microlocal techniques that the first
n eigenvalues of converge to
the first n eigenvalues of the direct sum of harmonic oscillators on located
at the several wells.
In a neighborhood of one well, we construct formal asymptotic expansions of WKB-type
for eigenfunctions associated with the low lying eigenvalues of. These are obtained
from eigenfunctions or quasimodes for the
operator , acting on , via restriction to the lattice .

Tunneling is then described by a certain interaction matrix, similar to the analysis for the Schrödinger operator, the remainder is exponentially small and roughly quadratic compared with the
interaction matrix.
We give weighted-estimates for the difference of eigenfunctions of Dirichlet-operators in
neighbourhoods of the different wells and the associated WKB-expansions at the wells.
In the last step, we
derive full asymptotic expansions for interactions between two wells'' (minima)
of the potential energy, in particular for the discrete tunneling
effect. Here we essentially use analysis on phase space, complexified in the momentum variable.
These results are as sharp as the classical results for the Schrödinger operator given by Helffer and Sjöstrand.

Zeitschrift:
Reviews in Mathematical Physics (RMP)
Verlag:
World Scientific Publishing
Seiten:
1830002 (1-42)
Band:
Vol.30, No. 4

2018 | Tunneling for a class of Difference Operators: Complete Asymptotics | Markus Klein, Elke Rosenberger Zeitschrift: Annales Henri Poincare Verlag: Springer Verlag Seiten: 3511-3559 Band: 19(11) Link zur Publikation, Link zum Preprint, https://rdcu.be/9Gyk

### Tunneling for a class of Difference Operators: Complete Asymptotics

#### Autoren: Markus Klein, Elke Rosenberger (2018)

We analyze a general class of diﬀerence operators on , where
is a multi-well potential and is a small parameter. We derive full asymptotic expansions
of the prefactor of the exponentially small eigenvalue splitting due to interactions between two
“wells” (minima) of the potential energy, i.e., for the discrete tunneling eﬀect. We treat both
the case where there is a single minimal geodesic (with respect to the natural Finsler metric
induced by the leading symbol of ) connecting the two minima and the case where
the minimal geodesics form an k+1 dimensional manifold, k ≥ 1. These results on the tunneling
problem are as sharp as the classical results for the Schrödinger operator in [Helﬀer, Sjöstrand,
1984]. Technically, our approach is pseudodiﬀerential and we adapt techniques from [Helﬀer,
Sjöstrand, 1988] and [Helﬀer, Parisse, 1994] to our discrete setting.

Zeitschrift:
Annales Henri Poincare
Verlag:
Springer Verlag
Seiten:
3511-3559
Band:
19(11)

2018 | Wave and Dirac equations on manifolds | Lars Andersson, Christian Bär Verlag: de Gruyter Buchtitel: Space - Time - Matter Seiten: 324-348 Link zur Publikation, Link zum Preprint

### Wave and Dirac equations on manifolds

#### Autoren: Lars Andersson, Christian Bär (2018)

We review some recent results on geometric equations on Lorentzian manifolds such as the wave and Dirac equations. This includes well-posedness and stability for various initial value problems, as well as results on the structure of these equations on black-hole spacetimes (in particular, on the Kerr solution), the index theorem for hyperbolic Dirac operators and properties of the class of Green-hyperbolic operators.

Verlag:
de Gruyter
Buchtitel:
Space - Time - Matter
Seiten:
324-348

2018 | An improved discrete Hardy inequality | Matthias Keller, Yehuda Pinchover, Felix Pogorzelski Zeitschrift: American Mathematics Monthly Seiten: 347–350 Band: 125 Link zur Publikation, Link zum Preprint

### An improved discrete Hardy inequality

#### Autoren: Matthias Keller, Yehuda Pinchover, Felix Pogorzelski (2018)

We improve the classical discrete Hardy inequality

<nobr>n=1a2n(12)2n=1(a1+a2++ann)2,</nobr>

where <nobr>{an}n=1</nobr> is any sequence of non-negative real numbers.

Zeitschrift:
American Mathematics Monthly
Seiten:
347–350
Band:
125

2018 | Boundary value problems for the Lorentzian Dirac operator | Christian Bär, Sebastian Hannes Verlag: Oxford Univ. Press Buchtitel: A. Dancer, J.E. Andersen, O. García-Prada (eds.): Geometry and Physics Seiten: 3-18 Band: 1 Link zum Preprint

### Boundary value problems for the Lorentzian Dirac operator

#### Autoren: Christian Bär, Sebastian Hannes (2018)

On a compact globally hyperbolic Lorentzian spin manifold with smooth spacelike Cauchy boundary the (hyperbolic) Dirac operator is known to be Fredholm when Atiyah-Patodi-Singer boundary conditions are imposed. In this paper we investigate to what extent these boundary conditions can be replaced by more general ones and how the index then changes. There are some differences to the classical case of the elliptic Dirac operator on a Riemannian manifold with boundary.

Verlag:
Oxford Univ. Press
Buchtitel:
A. Dancer, J.E. Andersen, O. García-Prada (eds.): Geometry and Physics
Seiten:
3-18
Band:
1

2018 | Empilements de disques ou comment une approche probabiliste peut compléter une analyse géométrique ... | Charlotte Dombrowsky, Myriam Fradon, Sylvie Roelly Zeitschrift: Quadrature Band: 107 Link zur Publikation

### Empilements de disques ou comment une approche probabiliste peut compléter une analyse géométrique ...

#### Autoren: Charlotte Dombrowsky, Myriam Fradon, Sylvie Roelly (2018)

Zeitschrift:
Band:
107

2018 | The stack of Yang-Mills fields on Lorentzian manifolds | Marco Benini, Alexander Schenkel, Urs Schreiber Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 765-820 Band: 359, no. 2 Link zur Publikation, Link zum Preprint

### The stack of Yang-Mills fields on Lorentzian manifolds

#### Autoren: Marco Benini, Alexander Schenkel, Urs Schreiber (2018)

We provide an abstract definition and an explicit construction of the stack of non-Abelian Yang-Mills fields on globally hyperbolic Lorentzian manifolds. We also formulate a stacky version of the Yang-Mills Cauchy problem and show that its well-posedness is equivalent to a whole family of parametrized PDE problems. Our work is based on the homotopy theoretical approach to stacks proposed in [S. Hollander, Israel J. Math. 163, 93-124 (2008)], which we shall extend by further constructions that are relevant for our purposes. In particular, we will clarify the concretification of mapping stacks to classifying stacks such as BGcon.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
765-820
Band:
359, no. 2

2018 | Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime | Lars Andersson, Pieter Blue, Jeremie Joudioux Zeitschrift: Commun. Part. Diff. Eq. Verlag: Taylor & Francis Seiten: 47-65 Band: 43, no. 1 Link zur Publikation, Link zum Preprint

### Hidden symmetries and decay for the Vlasov equation on the Kerr spacetime

#### Autoren: Lars Andersson, Pieter Blue, Jeremie Joudioux (2018)

This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation.

Zeitschrift:
Commun. Part. Diff. Eq.
Verlag:
Taylor & Francis
Seiten:
47-65
Band:
43, no. 1

2018 | Geometry of black hole spacetimes | Lars Andersson, Thomas Bäckdahl, Pieter Blue Reihe: London Mathematical Society Lecture Note Series Verlag: Cambridge University Press Buchtitel: T. Daudé, D. Häfner, J.-P. Nicolas (eds.): Asymptotic Analysis in General Relativity Seiten: 9-85 Band: 443 Link zur Publikation, Link zum Preprint

### Geometry of black hole spacetimes

#### Autoren: Lars Andersson, Thomas Bäckdahl, Pieter Blue (2018)

These notes, based on lectures given at the summer school on Asymptotic Analysis in General Relativity, collect material on the Einstein equations, the geometry of black hole spacetimes, and the analysis of fields on black hole backgrounds. The Kerr model of a rotating black hole in vacuum is expected to be unique and stable. The problem of proving these fundamental facts provides the background for the material presented in these notes.
Among the many topics which are relevant for the uniqueness and stability problems are the theory of fields on black hole spacetimes, in particular for gravitational perturbations of the Kerr black hole, and more generally, the study of nonlinear field equations in the presence of trapping. The study of these questions requires tools from several different fields, including Lorentzian geometry, hyperbolic differential equations and spin geometry, which are all relevant to the black hole stability problem.

Reihe:
London Mathematical Society Lecture Note Series
Verlag:
Cambridge University Press
Buchtitel:
T. Daudé, D. Häfner, J.-P. Nicolas (eds.): Asymptotic Analysis in General Relativity
Seiten:
9-85
Band:
443

2018 | Convergence of Dynamics and the Perron-Frobenius Operator | Moritz Gerlach Zeitschrift: Israel Journal of Mathematics Seiten: 451–463 Band: 225(1) Link zur Publikation, Link zum Preprint

### Convergence of Dynamics and the Perron-Frobenius Operator

#### Autoren: Moritz Gerlach (2018)

We complete the picture how the asymptotic behavior of a dynamical system is reflected by properties of the associated Perron-Frobenius operator. Our main result states that strong convergence of the powers of the Perron-Frobenius operator is equivalent to setwise convergence of the underlying dynamic in the measure algebra. This situation is furthermore characterized by a uniform mixing-like property of the system.

Zeitschrift:
Israel Journal of Mathematics
Seiten:
451–463
Band:
225(1)

2018 | Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups | Moritz Gerlach, Jochen Glück Zeitschrift: Ergodic Theory and Dynamical Systems Seiten: 3012-3041 Band: 38(8) Link zur Publikation, Link zum Preprint

### Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups

#### Autoren: Moritz Gerlach, Jochen Glück (2018)

If $(T_t)$ is a semigroup of Markov operators on an $L^1$-space that admits a non-trivial lower bound, then a well-known theorem of Lasota and Yorke asserts that the semigroup is strongly convergent as $t \to \infty$. In this article we generalise and improve this result in several respects.

First, we give a new and very simple proof for the fact that the same conclusion also holds if the semigroup is merely assumed to be bounded instead of Markov. As a main result we then prove a version of this theorem for semigroups which only admit certain individual lower bounds. Moreover, we generalise a theorem of Ding on semigroups of Frobenius-Perron operators. We also demonstrate how our results can be adapted to the setting of general Banach lattices and we give some counterexamples to show optimality of our results.

Our methods combine some rather concrete estimates and approximation arguments with abstract functional analytical tools. One of these tools is a theorem which relates the convergence of a time-continuous operator semigroup to the convergence of embedded discrete semigroups.

Zeitschrift:
Ergodic Theory and Dynamical Systems
Seiten:
3012-3041
Band:
38(8)

2017 | On the spectrum of operator families on discrete groups over minimal dynamical Systems | Siegfried Beckus, Daniel Lenz, Marko Lindner, Christian Seifert Zeitschrift: Mathematische Zeitschrift Reihe: 287 Seiten: 993 - 1007 Link zur Publikation, Link zum Preprint

### On the spectrum of operator families on discrete groups over minimal dynamical Systems

#### Autoren: Siegfried Beckus, Daniel Lenz, Marko Lindner, Christian Seifert (2017)

Zeitschrift:
Mathematische Zeitschrift
Reihe:
287
Seiten:
993 - 1007

2017 | Eigenvalue pinching on spin-c manifolds | Saskia Roos Zeitschrift: J. Geom. Phys. Verlag: Elsevier Seiten: 59-73 Band: 112 Link zur Publikation, Link zum Preprint

### Eigenvalue pinching on spin-c manifolds

We derive various pinching results for small Dirac eigenvalues using the classification of spinc and spin manifolds admitting nontrivial Killing spinors. For this, we introduce a notion of convergence for spinc manifolds which involves a general study on convergence of Riemannian manifolds with a principal S1-bundle. We also analyze the relation between the regularity of the Riemannian metric and the regularity of the curvature of the associated principal S1-bundle on spinc manifolds with Killing spinors.

Zeitschrift:
J. Geom. Phys.
Verlag:
Elsevier
Seiten:
59-73
Band:
112

2017 | A Characterization of Codimension One Collapse Under Bounded Curvature and Diameter | Saskia Roos Zeitschrift: Journal of Geometric Analysis Verlag: Springer Seiten: 2707-2724 Band: 28, no. 3 Link zur Publikation, Link zum Preprint

### A Characterization of Codimension One Collapse Under Bounded Curvature and Diameter

Let M(n,D) be the space of closed n-dimensional Riemannian manifolds (M,g) with diam(M)≤D and |secM|≤1. In this paper we consider sequences (Mi,gi) in M(n,D) converging in the Gromov–Hausdorff topology to a compact metric space Y. We show, on the one hand, that the limit space of this sequence has at most codimension one if there is a positive number r such that the quotient vol(BMir(x))/injMi(x) can be uniformly bounded from below by a positive constant C(n, r, Y) for all points x∈Mi. On the other hand, we show that if the limit space has at most codimension one then for all positive r there is a positive constant C(n, r, Y) bounding the quotient vol(BMir(x))/injMi(x) uniformly from below for all x∈Mi. As a conclusion, we derive a uniform lower bound on the volume and a bound on the essential supremum of the sectional curvature for the closure of the space consisting of all manifolds in M(n,D) with C≤vol(M)/inj(M).

Zeitschrift:
Journal of Geometric Analysis
Verlag:
Springer
Seiten:
2707-2724
Band:
28, no. 3

2017 | The Cauchy problem for the linearised Einstein equation and the Goursat problem for wave equations | Oliver Lindblad Petersen Link zur Publikation, PhD thesis, University of Potsdam

### The Cauchy problem for the linearised Einstein equation and the Goursat problem for wave equations

#### Autoren: Oliver Lindblad Petersen (2017)

In this thesis, we study two initial value problems arising in general relativity. The first is the Cauchy problem for the linearised Einstein equation on general globally hyperbolic spacetimes, with smooth and distributional initial data. We extend well-known results by showing that given a solution to the linearised constraint equations of arbitrary real Sobolev regularity, there is a globally defined solution, which is unique up to addition of gauge solutions. Two solutions are considered equivalent if they differ by a gauge solution. Our main result is that the equivalence class of solutions depends continuously on the corresponding equivalence class of initial data. We also solve the linearised constraint equations in certain cases and show that there exist arbitrarily irregular (non-gauge) solutions to the linearised Einstein equation on Minkowski spacetime and Kasner spacetime.
In the second part, we study the Goursat problem (the characteristic Cauchy problem) for wave equations. We specify initial data on a smooth compact Cauchy horizon, which is a lightlike hypersurface. This problem has not been studied much, since it is an initial value problem on a non-globally hyperbolic spacetime. Our main result is that given a smooth function on a non-empty, smooth, compact, totally geodesic and non-degenerate Cauchy horizon and a so called admissible linear wave equation, there exists a unique solution that is defined on the globally hyperbolic region and restricts to the given function on the Cauchy horizon. Moreover, the solution depends continuously on the initial data. A linear wave equation is called admissible if the first order part satisfies a certain condition on the Cauchy horizon, for example if it vanishes. Interestingly, both existence of solution and uniqueness are false for general wave equations, as examples show. If we drop the non-degeneracy assumption, examples show that existence of solution fails even for the simplest wave equation. The proof requires precise energy estimates for the wave equation close to the Cauchy horizon. In case the Ricci curvature vanishes on the Cauchy horizon, we show that the energy estimates are strong enough to prove local existence and uniqueness for a class of non-linear wave equations. Our results apply in particular to the Taub-NUT spacetime and the Misner spacetime. It has recently been shown that compact Cauchy horizons in spacetimes satisfying the null energy condition are necessarily smooth and totally geodesic. Our results therefore apply if the spacetime satisfies the null energy condition and the Cauchy horizon is compact and non-degenerate.

PhD thesis, University of Potsdam

2017 | Study of metastatic kinetics in metastatic melanoma treated with B-RAF inhibitors: Introducing mathematical modelling of kinetics into the therapeutic decision | N. Hartung, C.T. Huynh, C. Gaudy-Marqueste, A. Flavian, N. Malissen, M.A. Richard-Lallemand, F. Hubert, J.-J. Grob Zeitschrift: PLoS ONE Band: 12(5) Link zur Publikation, e017608074

### Study of metastatic kinetics in metastatic melanoma treated with B-RAF inhibitors: Introducing mathematical modelling of kinetics into the therapeutic decision

#### Autoren: N. Hartung, C.T. Huynh, C. Gaudy-Marqueste, A. Flavian, N. Malissen, M.A. Richard-Lallemand, F. Hubert, J.-J. Grob (2017)

Zeitschrift:
PLoS ONE
Band:
12(5)

2017 | Model Description Language (MDL): A Standard for Modelling and Simulation | M. Smith, S. Moodie, R. Bizzotto, E. Blaudez, E. Borella, L. Carrara, P. Chan, M. Chenel, E. Comets, R. Gieschke, K. Harling, L. Harnisch, N. Hartung, A. Hooker, M. Karlsson, R. Kaye, C. Kloft, N. Kokash, M. Lavielle, G. Lestini, P. Magni, A. Mari, F. Men Zeitschrift: CPT: Pharmacometrics & Systems Pharmacology Link zur Publikation, doi:10.1002/psp4.12222

### Model Description Language (MDL): A Standard for Modelling and Simulation

#### Autoren: M. Smith, S. Moodie, R. Bizzotto, E. Blaudez, E. Borella, L. Carrara, P. Chan, M. Chenel, E. Comets, R. Gieschke, K. Harling, L. Harnisch, N. Hartung, A. Hooker, M. Karlsson, R. Kaye, C. Kloft, N. Kokash, M. Lavielle, G. Lestini, P. Magni, A. Mari, F. Men (2017)

Zeitschrift:
CPT: Pharmacometrics & Systems Pharmacology
doi:10.1002/psp4.12222

2017 | Magnitude of Increased Infliximab Clearance Imposed by Anti-infliximab Antibodies in Crohn's Disease Is Determined by Their Concentration | H. Edlund, C. Steenholdt, M.A. Ainsworth, E. Goebgen, J. Brynskov, O.Ø. Thomsen, W. Huisinga, C. Kloft Zeitschrift: AAPS J Seiten: 223-233 Band: 19(1) Link zur Publikation

### Magnitude of Increased Infliximab Clearance Imposed by Anti-infliximab Antibodies in Crohn's Disease Is Determined by Their Concentration

#### Autoren: H. Edlund, C. Steenholdt, M.A. Ainsworth, E. Goebgen, J. Brynskov, O.Ø. Thomsen, W. Huisinga, C. Kloft (2017)

Zeitschrift:
AAPS J
Seiten:
223-233
Band:
19(1)

2017 | Towards toxicokinetic modelling of aluminium exposure from adjuvants in medicinal products | K. Weisser, S. Stübler, W. Matheis, W. Huisinga Zeitschrift: Regul Toxicol Pharmacol Seiten: 310-321 Band: 88 Link zur Publikation

### Towards toxicokinetic modelling of aluminium exposure from adjuvants in medicinal products

#### Autoren: K. Weisser, S. Stübler, W. Matheis, W. Huisinga (2017)

Zeitschrift:
Regul Toxicol Pharmacol
Seiten:
310-321
Band:
88

2017 | Translational Pharmacometric Evaluation of Typical Antibiotic Broad-Spectrum Combination Therapies Against Staphylococcus Aureus Exploiting In Vitro Information | S. Wicha, W. Huisinga, C. Kloft Zeitschrift: CPT Pharmacometrics Syst Pharmacol Seiten: 512-522 Band: 6(8) Link zur Publikation

### Translational Pharmacometric Evaluation of Typical Antibiotic Broad-Spectrum Combination Therapies Against Staphylococcus Aureus Exploiting In Vitro Information

#### Autoren: S. Wicha, W. Huisinga, C. Kloft (2017)

Zeitschrift:
CPT Pharmacometrics Syst Pharmacol
Seiten:
512-522
Band:
6(8)

2017 | Impact of altered endogenous IgG on unspecific mAb clearance | S. Fuhrmann, C. Kloft, W. Huisinga Zeitschrift: J Pharmacokinet Pharmacodyn Seiten: 351-374 Band: 44 Link zur Publikation, Suppl Material (Matlab code)

### Impact of altered endogenous IgG on unspecific mAb clearance

#### Autoren: S. Fuhrmann, C. Kloft, W. Huisinga (2017)

Zeitschrift:
J Pharmacokinet Pharmacodyn
Seiten:
351-374
Band:
44

2017 | Semimechanistic Bone Marrow Exhaustion Pharmacokinetic/Pharmacodynamic Model for Chemotherapy-Induced Cumulative Neutropenia | A. Henrich A, M. Jörger, S. Kraff, U. Jaehde U, W. Huisinga, C. Kloft, Z.P. Parra-Guillen Zeitschrift: J Pharmacol Exp Ther Seiten: 347-358 Band: 362(2) Link zur Publikation

### Semimechanistic Bone Marrow Exhaustion Pharmacokinetic/Pharmacodynamic Model for Chemotherapy-Induced Cumulative Neutropenia

#### Autoren: A. Henrich A, M. Jörger, S. Kraff, U. Jaehde U, W. Huisinga, C. Kloft, Z.P. Parra-Guillen (2017)

Zeitschrift:
J Pharmacol Exp Ther
Seiten:
347-358
Band:
362(2)

2017 | Predicting Cortisol Exposure from Paediatric Hydrocortisone Formulation Using a Semi-Mechanistic Pharmacokinetic Model Established in Healthy Adults | J. Melin, Z.P. Parra-Guillen, N. Hartung, W. Huisinga, R.J. Ross, M.J. Whitaker, C. Kloft Zeitschrift: Clin Pharmacokinet. Verlag: Springer Link zur Publikation, doi: 10.1007/s40262-017-0575-8

### Predicting Cortisol Exposure from Paediatric Hydrocortisone Formulation Using a Semi-Mechanistic Pharmacokinetic Model Established in Healthy Adults

#### Autoren: J. Melin, Z.P. Parra-Guillen, N. Hartung, W. Huisinga, R.J. Ross, M.J. Whitaker, C. Kloft (2017)

Zeitschrift:
Clin Pharmacokinet.
Verlag:
Springer
doi: 10.1007/s40262-017-0575-8

2017 | Role of renal function in risk assessment of target non-attainment after standard dosing of meropenem in critically ill patients: A prospective observational study | L. Ehmann, M. Zoller, I. K. Minichmayr, C. Scharf, B. Maier, M. V. Schmitt, N. Hartung, W. Huisinga, M. Vogeser, L. Frey, J. Zander, C. Kloft Zeitschrift: Critical Care Seiten: 263 Band: 21 Link zur Publikation

### Role of renal function in risk assessment of target non-attainment after standard dosing of meropenem in critically ill patients: A prospective observational study

#### Autoren: L. Ehmann, M. Zoller, I. K. Minichmayr, C. Scharf, B. Maier, M. V. Schmitt, N. Hartung, W. Huisinga, M. Vogeser, L. Frey, J. Zander, C. Kloft (2017)

Zeitschrift:
Critical Care
Seiten:
263
Band:
21

2017 | Paracrine and autocrine regulation of gene expression by Wnt-inhibitor Dickkopf in wild-type and mutant hepatocytes | N. Hartung, U. Benary, J. Wolf, B. Kofahl Zeitschrift: BMC Systems Biology Seiten: 98 Band: 11 Link zur Publikation

### Paracrine and autocrine regulation of gene expression by Wnt-inhibitor Dickkopf in wild-type and mutant hepatocytes

#### Autoren: N. Hartung, U. Benary, J. Wolf, B. Kofahl (2017)

Zeitschrift:
BMC Systems Biology
Seiten:
98
Band:
11

2017 | On a Semigroup of n-ary Operations | Susanti, Y., Koppitz, J. Zeitschrift: Far East Journal of Mathematical Sciences (FJMS) Band: 102 no.4

### On a Semigroup of n-ary Operations

#### Autoren: Susanti, Y., Koppitz, J. (2017)

Zeitschrift:
Far East Journal of Mathematical Sciences (FJMS)
Band:
102 no.4

2017 | Regular Semigroups of Partial Transformations Preserving a Fence | Lohapan, L., Koppitz, J. Zeitschrift: Novi Sad Journal of Mathematics (NSJOM) Band: 47 no. 2

### Regular Semigroups of Partial Transformations Preserving a Fence

#### Autoren: Lohapan, L., Koppitz, J. (2017)

Zeitschrift:
Novi Sad Journal of Mathematics (NSJOM)
Band:
47 no. 2

2017 | Generating Sets of Semigroups of Partial Transformations Preserving a Zig-Zag Order on N | Dimitrova, I, Koppitz, J, Lohapan, L. Zeitschrift: International Journal of Pure and Applied Mathematics Band: 12 no. 2

### Generating Sets of Semigroups of Partial Transformations Preserving a Zig-Zag Order on N

#### Autoren: Dimitrova, I, Koppitz, J, Lohapan, L. (2017)

Zeitschrift:
International Journal of Pure and Applied Mathematics
Band:
12 no. 2

2017 | Relations on a Semigroup of Sets of Transformations with Restricted Range. | Anantayasethi, A., Koppitz, J. Zeitschrift: Comptes rendus de l’Acad´emie bulgare des Sciences Band: 70 n0. 12

### Relations on a Semigroup of Sets of Transformations with Restricted Range.

#### Autoren: Anantayasethi, A., Koppitz, J. (2017)

Zeitschrift:
Comptes rendus de l’Acad´emie bulgare des Sciences
Band:
70 n0. 12

2017 | A Note on Generators of the endomorphism Semigroup of an infinite countable chain, | Dimitrova, I., Fernandes, V.H. and Koppitz, Zeitschrift: J. Algebra Appl. Band: 16

### A Note on Generators of the endomorphism Semigroup of an infinite countable chain,

#### Autoren: Dimitrova, I., Fernandes, V.H. and Koppitz, (2017)

Zeitschrift:
J. Algebra Appl.
Band:
16

2017 | Winkel aus der Sicht von Informationen | Heiko Etzold Zeitschrift: Von Phänomenen zu Begriffen und Strukturen – Vorträge auf der 32. Herbsttagung des Arbeitskreises Geometrie in der Gesellschaft für Didaktik der Mathematik Seiten: 35-44

### Winkel aus der Sicht von Informationen

#### Autoren: Heiko Etzold (2017)

Zeitschrift:
Von Phänomenen zu Begriffen und Strukturen – Vorträge auf der 32. Herbsttagung des Arbeitskreises Geometrie in der Gesellschaft für Didaktik der Mathematik
Seiten:
35-44

2017 | Klipp Klapp - Würfelnetze einmal anders. Mit digitalen Medien das räumliche Vorstellungsvermögen fördern | Heiko Etzold, Ana Kuzle Zeitschrift: Grundschulunterricht Mathematik Reihe: 1 Seiten: 29-32

### Klipp Klapp - Würfelnetze einmal anders. Mit digitalen Medien das räumliche Vorstellungsvermögen fördern

#### Autoren: Heiko Etzold, Ana Kuzle (2017)

Zeitschrift:
Grundschulunterricht Mathematik
Reihe:
1
Seiten:
29-32

2017 | Raum und Form | Ulrich Kortenkamp, Bernd Wollring Verlag: Kallmeyer Klett Buchtitel: Basiswissen Lehrerbildung: Mathematik Unterrichten Seiten: 99–112

### Raum und Form

#### Autoren: Ulrich Kortenkamp, Bernd Wollring (2017)

Verlag:
Kallmeyer Klett
Buchtitel:
Basiswissen Lehrerbildung: Mathematik Unterrichten
Seiten:
99–112

2017 | Algunas propiedades básicas de procesos de ramificación | S. Roelly Reihe: Lectures in pure and applied mathematics Verlag: Universitätsverlag Potsdam Buchtitel: Stochastic processes with applications in the natural sciences.international workshop at Universidad de los Andes, Bogotá, Colombia Seiten: 29-79 Band: 4 Link zur Publikation

### Algunas propiedades básicas de procesos de ramificación

#### Autoren: S. Roelly (2017)

The interdisciplinary workshop STOCHASTIC PROCESSES WITH APPLICATIONS IN THE NATURAL SCIENCES was held in Bogotá, at Universidad de los Andes from December 5 to December 9, 2016. It brought together researchers from Colombia, Germany, France, Italy, Ukraine, who communicated recent progress in the mathematical research related to stochastic processes with application in biophysics. The present volume collects three of the four courses held at this meeting by Angelo Valleriani, Sylvie Rœlly and Alexei Kulik. A particular aim of this collection is to inspire young scientists in setting up research goals within the wide scope of fields represented in this volume.

Angelo Valleriani, PhD in high energy physics, is group leader of the team "Stochastic processes in complex and biological systems" from the Max-Planck-Institute of Colloids and Interfaces, Potsdam.

Sylvie Rœlly, Docteur en Mathématiques, is the head of the chair of Probability at the University of Potsdam.

Alexei Kulik, Doctor of Sciences, is a Leading researcher at the Institute of Mathematics of Ukrainian National Academy of Sciences.

Reihe:
Lectures in pure and applied mathematics
Verlag:
Universitätsverlag Potsdam
Buchtitel:
Stochastic processes with applications in the natural sciences.international workshop at Universidad de los Andes, Bogotá, Colombia
Seiten:
29-79
Band:
4

2017 | The Neumann problem after Spencer | A. Mera and N. Tarkhanov Zeitschrift: J. of Siberian Federal University Reihe: Mathematics and Physics Seiten: 1—20 Band: 10 n.4 Link zur Publikation, Link zum Preprint

### The Neumann problem after Spencer

#### Autoren: A. Mera and N. Tarkhanov (2017)

When trying to extend the Hodge theory for elliptic complexes on compact closed manifolds to the case of compact manifolds with boundary one is led to a boundary value problem for the Laplacian of the complex which is usually referred to as Neumann problem. We study the Neumann problem for a larger class of sequences of differential operators on a compact manifold with boundary. These are sequences of small curvature, i.e., bearing the property that the composition of any two neighbouring operators has order less than two.

Zeitschrift:
J. of Siberian Federal University
Reihe:
Mathematics and Physics
Seiten:
1—20
Band:
10 n.4

2017 | Isoperimetric structure of asymptotically conical manifolds | Otis Chodosh, Michael Eichmair, and Alexander Volkmann Zeitschrift: J. Differential Geom. Seiten: 1-19 Band: 105 Link zur Publikation

### Isoperimetric structure of asymptotically conical manifolds

#### Autoren: Otis Chodosh, Michael Eichmair, and Alexander Volkmann (2017)

We study the isoperimetric structure of Riemannian manifolds that are asymptotic to cones with non-negative Ricci curvature. Specifically, we generalize to this setting the seminal results of G. Huisken and S.–T. Yau on the existence of a canonical foliation by volume-preserving stable constant mean curvature surfaces at infinity of asymptotically flat manifolds as well as the results of the second-named author with S. Brendle and J. Metzger on the isoperimetric structure of asymptotically flat manifolds. We also include an observation on the isoperimetric cone angle of such manifolds. This result is a natural analogue of the positive mass theorem in this setting.

Zeitschrift:
J. Differential Geom.
Seiten:
1-19
Band:
105

2017 | The first mixed problem for the nonstationary Lamé system | O. Makhmudov and N. Tarkhanov Zeitschrift: Rocky Mountain J. Math. Link zur Publikation, Link zum Preprint

### The first mixed problem for the nonstationary Lamé system

#### Autoren: O. Makhmudov and N. Tarkhanov (2017)

We find an adequate interpretation of the Lam´e operator within the framework of elliptic complexes and study the first mixed problem for the nonstationary Lam´e system.

Zeitschrift:
Rocky Mountain J. Math.

2017 | The asymptotic content of solutions on spaces with singularities | D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze Zeitschrift: Applied Analysis and Optimization Band: 1, issue 2

### The asymptotic content of solutions on spaces with singularities

#### Autoren: D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze (2017)

Zeitschrift:
Applied Analysis and Optimization
Band:
1, issue 2

2017 | Singular Degenerate Operators | D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze Zeitschrift: Applicable Analysis Band: 96, Issue 14 Link zur Publikation

### Singular Degenerate Operators

#### Autoren: D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze (2017)

We outline some simplified and more general method for constructing parametrices on higher singular spaces. We also outline basic ideas on operators on manifolds with conical or edge singularities.

Zeitschrift:
Applicable Analysis
Band:
96, Issue 14

2017 | Nonlinear Equations with Small Parameter. Vol. II: Waves and Boundary Problems | S. Glebov, O.M. Kiselev, N. Tarkhanov Reihe: De Gruyter Series in Nonlinear Analysis and Applications 23/2 Verlag: De Gruyter Seiten: 390 Link zur Publikation

### Nonlinear Equations with Small Parameter. Vol. II: Waves and Boundary Problems

#### Autoren: S. Glebov, O.M. Kiselev, N. Tarkhanov (2017)

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. They allow one to match asymptotics of various properties with each other in transition regions and to get unified formulas for connection of characteristic parameters of approximate solutions. This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena. These are beginnings of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering constructions and quantum systems. Apart from independent interest the approximate solutions serve as a foolproof basis for testing numerical algorithms. The second volume will be related to partial differential equations.

Reihe:
De Gruyter Series in Nonlinear Analysis and Applications 23/2
Verlag:
De Gruyter
Seiten:
390

2017 | Nonlinear Equations with Small Parameter. Vol. I: Oscillations and Resonances | S. Glebov, O.M. Kiselev, N. Tarkhanov Reihe: De Gruyter Series in Nonlinear Analysis and Applications 23/1 Verlag: De Gruyter Seiten: 339 Link zur Publikation

### Nonlinear Equations with Small Parameter. Vol. I: Oscillations and Resonances

#### Autoren: S. Glebov, O.M. Kiselev, N. Tarkhanov (2017)

This two-volume monograph presents new methods of construction of global asymptotics of solutions to nonlinear equations with small parameter. These allow one to match the asymptotics of various properties with each other in transition regions and to get unified formulas for the connection of characteristic parameters of approximate solutions.

This approach underlies modern asymptotic methods and gives a deep insight into crucial nonlinear phenomena in the natural sciences. These include the outset of chaos in dynamical systems, incipient solitary and shock waves, oscillatory processes in crystals, engineering applications, and quantum systems. Apart from being of independent interest, such approximate solutions serve as a foolproof basis for testing numerical algorithms.

This first volume presents asymptotic methods in oscillation and resonance problems described by ordinary differential equations, whereby the second volume will be devoted to applications of asymptotic methods in waves and boundary value problems.

Reihe:
De Gruyter Series in Nonlinear Analysis and Applications 23/1
Verlag:
De Gruyter
Seiten:
339

2017 | Ellipticity on spaces with higher singularities | Der-Chen Chang, Bert-Wolfgang Schulze Zeitschrift: Science China Mathematics Seiten: 2053–2076 Band: 60, Issue 11 Link zur Publikation

### Ellipticity on spaces with higher singularities

#### Autoren: Der-Chen Chang, Bert-Wolfgang Schulze (2017)

We study corner-degenerate pseudo-differential operators of any singularity order and develop ellipticity based on the principal symbolic hierarchy, associated with the stratification of the underlying space. We construct parametrices within the calculus and discuss the aspect of additional trace and potential conditions along lower-dimensional strata.

Zeitschrift:
Science China Mathematics
Seiten:
2053–2076
Band:
60, Issue 11

2017 | Corner boundary value problems | M. Hedayat Mahmoudi, B.-W. Schulze Zeitschrift: Asian-European J. Math. Band: 10 Link zur Publikation

### Corner boundary value problems

#### Autoren: M. Hedayat Mahmoudi, B.-W. Schulze (2017)

The paper develops some crucial steps in extending the first-order cone or edge calculus to higher singularity orders. We focus here on order 2, but the ideas are motivated by an iterative approach for higher singularities

Zeitschrift:
Asian-European J. Math.
Band:
10

2017 | Construction of series of perfect lattices by layer superposition | S. Vasiliev and N. Tarkhanov Zeitschrift: J. of Siberian Federal University Seiten: 352—362 Link zur Publikation, Link zum Preprint

### Construction of series of perfect lattices by layer superposition

#### Autoren: S. Vasiliev and N. Tarkhanov (2017)

We construct a new series of perfect lattices in n dimensions by the layer superposition method of Delaunay-Barnes.

Zeitschrift:
J. of Siberian Federal University
Seiten:
352—362

2017 | Calculus on spaces with higher singularities | D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze Zeitschrift: Journal of Pseudo-Differential Operators and Application Seiten: 585 - 622 Band: 8, Issue 4 Link zur Publikation

### Calculus on spaces with higher singularities

#### Autoren: D.-C. Chang, M. Hedayat Mahmoudi, B.-W. Schulze (2017)

We establish extensions of the standard pseudo-differential calculus to specific classes of operators with operator-valued symbols occurring in symbolic hierarchies motivated by manifolds with higher singularities or stratified spaces.

Zeitschrift:
Journal of Pseudo-Differential Operators and Application
Seiten:
585 - 622
Band:
8, Issue 4

2017 | Boundary value problems with global projection conditions | B.-W. Schulze Reihe: ISAAC, Trend in Math Verlag: Springer Buchtitel: Groups, Geometry and Applications

### Boundary value problems with global projection conditions

#### Autoren: B.-W. Schulze (2017)

Reihe:
ISAAC, Trend in Math
Verlag:
Springer
Buchtitel:
Groups, Geometry and Applications

2017 | Boundary Problems on a Manifold with Edge | S. Khalil, B.-W. Schulze Zeitschrift: Asian-European J. Math. Band: 10 Link zur Publikation

### Boundary Problems on a Manifold with Edge

#### Autoren: S. Khalil, B.-W. Schulze (2017)

We establish a calculus of boundary value problems (BVPs) on a manifold NN with boundary and edge, based on Boutet de Monvel’s theory of BVPs in the case of a smooth boundary and on the edge calculus, where in the present case the model cone has a base which is a compact manifold with boundary. The corresponding calculus with boundary and edge is a unification of both structures and controls different operator-valued symbolic structures, in order to obtain ellipticity and parametrices.

Zeitschrift:
Asian-European J. Math.
Band:
10

2017 | Analytic semigroups of holomorphic mappings and composition operators | M. Elin, D. Shoikhet, and N. Tarkhanov Zeitschrift: Computational Methods and Function Theory Seiten: 1-26 Link zur Publikation, Link zum Preprint

### Analytic semigroups of holomorphic mappings and composition operators

#### Autoren: M. Elin, D. Shoikhet, and N. Tarkhanov (2017)

• In this paper we study the problem of analytic extension in parameter for a semigroup of holomorphic self-mappings of the unit ball in a complex Banach space and its relation to the linear continuous semigroup of composition operators. We also provide a brief review around this topic.
Zeitschrift:
Computational Methods and Function Theory
Seiten:
1-26

2017 | A Radó theorem for the porous medium equation | D. Fedchenko and N. Tarkhanov Zeitschrift: Boletín de la Sociedad Matemática Mexicana Seiten: 3—13 Link zum Preprint

### A Radó theorem for the porous medium equation

#### Autoren: D. Fedchenko and N. Tarkhanov (2017)

• We prove that each locally Lipschitz continuous function satisfying the porous medium equation away from the set of its zeroes is actually a weak solution of this equation in the whole domain.
Zeitschrift:
Boletín de la Sociedad Matemática Mexicana
Seiten:
3—13

2017 | A nonstandard Cauchy problem for the heat equation | K. Makhmudov, O. Makhmudov, and N. Tarkhanov Zeitschrift: Math. Notes Verlag: Springer Seiten: 250–260 Band: 102 Link zur Publikation, Link zum Preprint

### A nonstandard Cauchy problem for the heat equation

#### Autoren: K. Makhmudov, O. Makhmudov, and N. Tarkhanov (2017)

We consider the Cauchy problem for the heat equation in a cylinder C T = X × (0, T) over a domain X in R n , with data on a strip lying on the lateral surface. The strip is of the form S × (0, T), where S is an open subset of the boundary of X. The problem is ill-posed. Under natural restrictions on the configuration of S, we derive an explicit formula for solutions of this problem.

Zeitschrift:
Math. Notes
Verlag:
Springer
Seiten:
250–260
Band:
102

2017 | A New Approach to the Second Order Edge Calculus | M. Hedayat Mahmoudi, B.-W. Schulze Zeitschrift: Journal of Pseudo-Differential Operators and Applications Verlag: Springer Seiten: 1 - 37 Band: 2017 Link zur Publikation

### A New Approach to the Second Order Edge Calculus

#### Autoren: M. Hedayat Mahmoudi, B.-W. Schulze (2017)

We establish essential steps of an iterative approach to operator algebras, ellipticity and Fredholm property on stratified spaces with singularities of second order. We cover, in particular, corner-degenerate differential operators. Our constructions are focused on the case where no additional conditions of trace and potential type are posed, but this case works well and will be considered in a forthcoming paper as a conclusion of the present calculus.

Zeitschrift:
Journal of Pseudo-Differential Operators and Applications
Verlag:
Springer
Seiten:
1 - 37
Band:
2017

2017 | Microphysical characterization of long-range transported biomass burning particles from North America at three EARLINET stations | P. Ortiz-Amezcua, Luis Guerrero-Rascado, J., Jose Granados-Munoz, M., Antonio Benavent-Oltra, J., Böckmann, C., et al Zeitschrift: Atmospheric Chemistry and Physics 17(2017)5931-5946

### Microphysical characterization of long-range transported biomass burning particles from North America at three EARLINET stations

#### Autoren: P. Ortiz-Amezcua, Luis Guerrero-Rascado, J., Jose Granados-Munoz, M., Antonio Benavent-Oltra, J., Böckmann, C., et al (2017)

Zeitschrift:
Atmospheric Chemistry and Physics 17(2017)5931-5946

2017 | Kalman filter and its modern extensions for the continuous-time filtering problem | A. Taghvaei, J. de Wiljes, P.G. Mehta, S. Reich Zeitschrift: J. Dyn. Sys. Meas., Control, 140, 030904

### Kalman filter and its modern extensions for the continuous-time filtering problem

#### Autoren: A. Taghvaei, J. de Wiljes, P.G. Mehta, S. Reich (2017)

Zeitschrift:
J. Dyn. Sys. Meas., Control, 140, 030904

2017 | Likelihood-based parameter estimation and comparison of dynamical cognitive models | H.H. Schuett, L. Rothkegel, H.A. Trukenbrod, S. Reich, F.A. Wichmann, R. Engbert Zeitschrift: Psychological Review, 124, 505--524

### Likelihood-based parameter estimation and comparison of dynamical cognitive models

#### Autoren: H.H. Schuett, L. Rothkegel, H.A. Trukenbrod, S. Reich, F.A. Wichmann, R. Engbert (2017)

Zeitschrift:
Psychological Review, 124, 505--524

2017 | A second-order accuate ensemble transform particle filter | J. de Wiljes, W. Acevedo, S. Reich Zeitschrift: SIAM J. Sci. Comput., 39, A1834-A1850

### A second-order accuate ensemble transform particle filter

#### Autoren: J. de Wiljes, W. Acevedo, S. Reich (2017)

Zeitschrift:
SIAM J. Sci. Comput., 39, A1834-A1850

2017 | Backscattering effects of raindrops beating the ocean surface on TechDemoSat-1 derived wind speeds: Toward an improved GNSS scatterometry | M. Asgarimehr, J. Wickert, S. Reich, P. Jales, V. U. Zavorotny Zeitschrift: submitted to Geophysical Review Letters

### Backscattering effects of raindrops beating the ocean surface on TechDemoSat-1 derived wind speeds: Toward an improved GNSS scatterometry

#### Autoren: M. Asgarimehr, J. Wickert, S. Reich, P. Jales, V. U. Zavorotny (2017)

Zeitschrift:
submitted to Geophysical Review Letters

2017 | Balanced data assimilation for highly oscillatory mechanical systems | M. Reinhardt, G. Hastermann, R. Klein and S. Reich Zeitschrift: submitted to Nonlinear Science

### Balanced data assimilation for highly oscillatory mechanical systems

#### Autoren: M. Reinhardt, G. Hastermann, R. Klein and S. Reich (2017)

Zeitschrift:
submitted to Nonlinear Science

2017 | Algebraic Birkhoff factorization and the Euler–Maclaurin formula on cones | L. Guo, S. Paycha, B. Zhang Zeitschrift: Duke Math. J. Band: 166, 3 Link zur Publikation, Link zum Preprint

### Algebraic Birkhoff factorization and the Euler–Maclaurin formula on cones

#### Autoren: L. Guo, S. Paycha, B. Zhang (2017)

We equip the space of lattice cones with a coproduct which makes it a cograded, coaugmented, connnected coalgebra. The exponential generating sum and exponential generating integral on lattice cones can be viewed as linear maps on this space with values in the space of meromorphic germs with linear poles at zero. We investigate the subdivision properties—reminiscent of the inclusion-exclusion principle for the cardinal on finite sets—of such linear maps and show that these properties are compatible with the convolution quotient of maps on the coalgebra. Implementing the algebraic Birkhoff factorization procedure on the linear maps under consideration, we factorize the exponential generating sum as a convolution quotient of two maps, with each of the maps in the factorization satisfying a subdivision property. A direct computation shows that the polar decomposition of the exponential generating sum on a smooth lattice cone yields an Euler–Maclaurin formula. The compatibility with subdivisions of the convolution quotient arising in the algebraic Birkhoff factorization then yields the Euler–Maclaurin formula for any lattice cone. This provides a simple formula for the interpolating factor by means of a projection formula.

Zeitschrift:
Duke Math. J.
Band:
166, 3

2017 | An algebraic formulation of the locality principle in renormalisation | Pierre Clavier, Li Guo, Sylvie Paycha, Bin Zhang Link zum Preprint

### An algebraic formulation of the locality principle in renormalisation

#### Autoren: Pierre Clavier, Li Guo, Sylvie Paycha, Bin Zhang (2017)

We study the mathematical structure underlying the concept of locality which lies at the heart of classical and quantum field theory, and develop a machinery used to preserve locality during the renormalisation procedure. Viewing renormalisation in the framework of Connes and Kreimer as the algebraic Birkhoff factorisation of characters on a Hopf algebra with values in a Rota-Baxter algebra, we build locality variants of these algebraic structures, leading to a locality variant of the algebraic Birkhoff factorisation. This provides an algebraic formulation of the conservation of locality while renormalising.
As an application in the context of the Euler-Maclaurin formula on cones, we renormalise the exponential generating function which sums over the lattice points in convex cones. For a suitable multivariate regularisation, renormalisation from the algebraic Birkhoff factorisation amounts to composition by a projection onto holomorphic multivariate functions.

2017 | Concentration of weakly dependent Banach-valued sums and applications to kernel learning methods | Blanchard G., Zadorozhnyi O. Link zum Preprint

### Concentration of weakly dependent Banach-valued sums and applications to kernel learning methods

#### Autoren: Blanchard G., Zadorozhnyi O. (2017)

We obtain a new Bernstein-type inequality for sums of Banach-valued random variables satisfying a weak dependence assumption of general type and under certain smoothness assumptions of the underlying Banach norm. We use this inequality in order to investigate in asymptotical regime the error upper bounds for the broad family of spectral regularization methods for reproducing kernel decision rules, when trained on a sample coming from a τmixing process.

2017 | Heat kernels and regularity for rough metrics on smooth manifolds | Lashi Bandara, Paul Bryan Link zum Preprint

### Heat kernels and regularity for rough metrics on smooth manifolds

#### Autoren: Lashi Bandara, Paul Bryan (2017)

We consider rough metrics on smooth manifolds and corresponding Laplacians induced by such metrics. We demonstrate that globally continuous heat kernels exist and are H\"older continuous locally in space and time. This is done via local parabolic Harnack estimates for weak solutions of operators in divergence form with bounded measurable coefficients in weighted Sobolev spaces.

2017 | Un destin singulier: Vincent, alias Wolfgang, fils d’Alfred Döblin | Sylvie Roelly Zeitschrift: Dokumente/Documents Band: 4/2017 Link zur Publikation, Link zum Preprint

### Un destin singulier: Vincent, alias Wolfgang, fils d’Alfred Döblin

#### Autoren: Sylvie Roelly (2017)

Un pli cacheté, envoyé par Wolfgang Döblin (1915-1940) à l’Académie des Sciences de Paris, mais ouvert seulement en 2000, met en évidence l’avant-gardisme du génie probabiliste du fils de l’écrivain Alfred Döblin (1878-1957), auteur notamment de Berlin, Alexanderplatz. Son inspiration mathématique géniale a puisé ses forces dans l’union des deux écoles française et allemande.

Zeitschrift:
Dokumente/Documents
Band:
4/2017

2017 | Pinned diffusions and Markov bridges | Florian Hildebrandt, Sylvie Roelly Link zum Preprint

### Pinned diffusions and Markov bridges

#### Autoren: Florian Hildebrandt, Sylvie Roelly (2017)

In this article we consider a family of real-valued di ffusion processes on the time interval [0; 1] indexed by their prescribed initial value and another point y in space. We first present a condition on their drift and di ffusion coefficients ensuring that the di ffusion is pinned in y at time 1. Our main result then concerns the following question: can this family of pinned diff usions be obtained as the bridges either of a Gaussian Markov process or of an Ito di ffusion? We eventually illustrate our precise answer with several examples.

2017 | Two-sample Tests for Random Graphs | Debarghya Ghoshdastidar, Maurilio Gutzeit, Alexandra Carpentier, Ulrike von Luxburg. Zeitschrift: Preprint Link zum Preprint

### Two-sample Tests for Random Graphs

#### Autoren: Debarghya Ghoshdastidar, Maurilio Gutzeit, Alexandra Carpentier, Ulrike von Luxburg. (2017)

Zeitschrift:
Preprint

2017 | Adaptive estimation of the sparsity in the Gaussian vector model | A. Carpentier, N. Verzelen Zeitschrift: Preprint Link zum Preprint

### Adaptive estimation of the sparsity in the Gaussian vector model

#### Autoren: A. Carpentier, N. Verzelen (2017)

Zeitschrift:
Preprint

2017 | An iterative hard thresholding estimator for low rank matrix recovery with explicit limiting distribution | A. Carpentier and A.K.H. Kim Zeitschrift: To appear in Statistica Sinica Link zum Preprint

### An iterative hard thresholding estimator for low rank matrix recovery with explicit limiting distribution

#### Autoren: A. Carpentier and A.K.H. Kim (2017)

Zeitschrift:
To appear in Statistica Sinica

2017 | Decontamination of Mutual Contamination Models | J. Katz-Samuels, G. Blanchard, C. Scott. Zeitschrift: Preprint Link zum Preprint

### Decontamination of Mutual Contamination Models

#### Autoren: J. Katz-Samuels, G. Blanchard, C. Scott. (2017)

Zeitschrift:
Preprint

2017 | Early stopping for statistical inverse problems via truncated SVD estimation. | G. Blanchard, M. Hoffmann, M. Reiß Zeitschrift: Preprint Link zum Preprint

### Early stopping for statistical inverse problems via truncated SVD estimation.

#### Autoren: G. Blanchard, M. Hoffmann, M. Reiß (2017)

Zeitschrift:
Preprint

2017 | Optimal adaptation for early stopping in statistical inverse problems | G. Blanchard, M. Hoffmann, M. Reiß. Zeitschrift: Preprint Link zum Preprint

### Optimal adaptation for early stopping in statistical inverse problems

#### Autoren: G. Blanchard, M. Hoffmann, M. Reiß. (2017)

Zeitschrift:
Preprint

2017 | Compressive Statistical Learning with Random Feature Moments | R. Gribonval, G. Blanchard, N. Keriven, Y. Traonmilin. Zeitschrift: Preprint Link zum Preprint

### Compressive Statistical Learning with Random Feature Moments

#### Autoren: R. Gribonval, G. Blanchard, N. Keriven, Y. Traonmilin. (2017)

Zeitschrift:
Preprint

2017 | Post hoc inference via joint family-wise error rate control | G. Blanchard, P. Neuvial, E. Roquain Zeitschrift: Preprint Link zum Preprint

### Post hoc inference via joint family-wise error rate control

#### Autoren: G. Blanchard, P. Neuvial, E. Roquain (2017)

Zeitschrift:
Preprint

2017 | Minimax Euclidean Separation Rates for Testing Convex Hypotheses in R^d | G. Blanchard, A. Carpentier, M. Gutzeit Zeitschrift: Preprint Link zum Preprint

### Minimax Euclidean Separation Rates for Testing Convex Hypotheses in R^d

#### Autoren: G. Blanchard, A. Carpentier, M. Gutzeit (2017)

Zeitschrift:
Preprint

2017 | Parallelizing Spectral Algorithms for Kernel Learning | G. Blanchard, N. Mücke Zeitschrift: Preprint Link zum Preprint

### Parallelizing Spectral Algorithms for Kernel Learning

#### Autoren: G. Blanchard, N. Mücke (2017)

Zeitschrift:
Preprint

2017 | Kernel regression, minimax rates and effective dimensionality: beyond the regular case. | G. Blanchard, N. Mücke. Zeitschrift: Preprint Link zum Preprint

### Kernel regression, minimax rates and effective dimensionality: beyond the regular case.

#### Autoren: G. Blanchard, N. Mücke. (2017)

Zeitschrift:
Preprint

2017 | Construction of Tight Frames on Graphs and Application to Denoising | G. Blanchard, F. Göbel, U. von Luxburg Zeitschrift: Preprint Link zum Preprint

### Construction of Tight Frames on Graphs and Application to Denoising

#### Autoren: G. Blanchard, F. Göbel, U. von Luxburg (2017)

Zeitschrift:
Preprint

2017 | Adaptive Confidence Sets for Matrix Completion. | A. Carpentier, O. Klopp, M. Loeffler, and R. Nickl. Zeitschrift: To appear in Bernoulli Link zum Preprint

### Adaptive Confidence Sets for Matrix Completion.

#### Autoren: A. Carpentier, O. Klopp, M. Loeffler, and R. Nickl. (2017)

Zeitschrift:
To appear in Bernoulli

2017 | Two-Sample Tests for Large Random Graphs using Network Statistics. | Debarghya Ghoshdastidar, Ulrike von Luxburg, Maurilio Gutzeit and Alexandra Carpentier Zeitschrift: COLT Link zur Publikation, Link zum Preprint

### Two-Sample Tests for Large Random Graphs using Network Statistics.

#### Autoren: Debarghya Ghoshdastidar, Ulrike von Luxburg, Maurilio Gutzeit and Alexandra Carpentier (2017)

Zeitschrift:
COLT

2017 | Adaptivity to Noise Parameters in Nonparametric Active Learning | Andrea Locatelli, Alexandra Carpentier and Samory Kpotufe Zeitschrift: COLT 2017 Link zur Publikation, Link zum Preprint

### Adaptivity to Noise Parameters in Nonparametric Active Learning

#### Autoren: Andrea Locatelli, Alexandra Carpentier and Samory Kpotufe (2017)

Zeitschrift:
COLT 2017

2017 | Optimal Rates For Regularization Of Statistical Inverse Learning Problems | G. Blanchard, N. Mücke. Zeitschrift: Foundations of Computational Mathematics Verlag: Springer Link zur Publikation, Link zum Preprint

### Optimal Rates For Regularization Of Statistical Inverse Learning Problems

#### Autoren: G. Blanchard, N. Mücke. (2017)

Zeitschrift:
Foundations of Computational Mathematics
Verlag:
Springer

2017 | Remarks on curvature dimension conditions on graphs | Florentin Münch Zeitschrift: Calculus of Variations and Partial Differential Equations Reihe: 56 Verlag: Springer Seiten: 11 Link zum Preprint

### Remarks on curvature dimension conditions on graphs

#### Autoren: Florentin Münch (2017)

We show a connection between the CDE′ inequality introduced in Horn et al. (Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for nonnegative curvature graphs. arXiv:1411.5087v2, 2014) and the CDψ inequality established in Münch (Li–Yau inequality on finite graphs via non-linear curvature dimension conditions. arXiv:1412.3340v1, 2014). In particular, we introduce a CDφψ inequality as a slight generalization of CDψ which turns out to be equivalent to CDE′ with appropriate choices of φ and ψ. We use this to prove that the CDE′ inequality implies the classical CD inequality on graphs, and that the CDE′ inequality with curvature bound zero holds on Ricci-flat graphs.

Zeitschrift:
Calculus of Variations and Partial Differential Equations
Reihe:
56
Verlag:
Springer
Seiten:
11

2017 | On the positive mass theorem for closed Riemannian manifolds | Andreas Hermann, Emmanuel Humbert Verlag: Springer Buchtitel: Ji, Lizhen, Papadopoulos, Athanase, Yamada, Sumio (Eds.): From Riemann to Differential Geometry and Relativity Seiten: 515-540 Link zur Publikation

### On the positive mass theorem for closed Riemannian manifolds

#### Autoren: Andreas Hermann, Emmanuel Humbert (2017)

The Positive Mass Conjecture for asymptotically flat Riemannian manifolds is a famous open problem in geometric analysis. In this article we consider a variant of this conjecture, namely the Positive Mass Conjecture for closed Riemannian manifolds. We explain why the two positive mass conjectures are equivalent. After that we explain our proof of the following result: If one can prove the Positive Mass Conjecture for one closed simply-connected non-spin manifold of dimension n≥5, then the Positive Mass Conjecture is true for all closed manifolds of dimension n.

Verlag:
Springer
Buchtitel:
Ji, Lizhen, Papadopoulos, Athanase, Yamada, Sumio (Eds.): From Riemann to Differential Geometry and Relativity
Seiten:
515-540

2017 | Supersymmetric Path Integrals II: The Fermionic Integral and Pfaffian Line Bundles | Florian Hanisch, Matthias Ludewig Link zum Preprint

### Supersymmetric Path Integrals II: The Fermionic Integral and Pfaffian Line Bundles

#### Autoren: Florian Hanisch, Matthias Ludewig (2017)

The Pfaffian line bundle of the covariant derivative and the transgression of the spin lifting gerbe are two canonically given real line bundles on the loop space of an oriented Riemannian manifold. It has been shown by Prat-Waldron that these line bundles are naturally isomorphic as metric line bundles and that the isomorphism maps their canonical sections to each other. In this paper, we provide a vast generalization of his results, by showing that there are natural sections of the corresponding line bundles for any N∈ℕ, which are mapped to each other under this isomorphism (with the previously known being the one for N=0). These canonical sections are important to define the fermionic part of the supersymmetric path integral on the loop space.

2017 | Supersymmetric Path Integrals I: Differential Forms on the Loop Space | Florian Hanisch, Matthias Ludewig Link zum Preprint

### Supersymmetric Path Integrals I: Differential Forms on the Loop Space

#### Autoren: Florian Hanisch, Matthias Ludewig (2017)

In this paper, we construct an integral map for differential forms on the loop space of Riemannian spin manifolds. In particular, the even and odd Bismut-Chern characters are integrable by this map, with their integrals given by indices of Dirac operators. We also show that our integral map satisfies a version of the localization principle in equivariant cohomology. This should provide a rigorous background for supersymmetry proofs of the Atiyah-Singer Index theorem.

2017 | Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions | Lashi Bandara, Andreas Rosén Link zum Preprint

### Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions

#### Autoren: Lashi Bandara, Andreas Rosén (2017)

On a smooth complete Riemannian spin manifold with smooth compact boundary, we demonstrate that Atiyah-Singer Dirac operator DB in L2 depends Riesz continuously on L perturbations of local boundary conditions B. The Lipschitz bound for the map B→DB(1+DB2)-1/2 depends on Lipschitz smoothness and ellipticity of B and bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius. More generally, we prove perturbation estimates for functional calculi of elliptic operators on manifolds with local boundary conditions.

2017 | Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric | Lashi Bandara, Alan McIntosh, Andreas Rosén Zeitschrift: Math. Ann. Verlag: Springer Seiten: 1-53 Link zur Publikation, Link zum Preprint

### Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric

#### Autoren: Lashi Bandara, Alan McIntosh, Andreas Rosén (2017)

We prove that the Atiyah-Singer Dirac operator Dg in L2 depends Riesz continuously on L perturbations of complete metrics g on a smooth manifold. The Lipschitz bound for the map g→Dg(1+Dg2)-1/2 depends on bounds on Ricci curvature and its first derivatives as well as a lower bound on injectivity radius. Our proof uses harmonic analysis techniques related to Calder\'on's first commutator and the Kato square root problem. We also show perturbation results for more general functions of general Dirac-type operators on vector bundles.

Zeitschrift:
Math. Ann.
Verlag:
Springer
Seiten:
1-53

2017 | Geometric singularities and a flow tangent to the Ricci flow | Lashi Bandara, Sajjad Lakzian, Michael Munn Zeitschrift: Ann. Sc. Norm. Super. Pisa Cl. Sci. Seiten: 763-804 Band: 17, no. 2 Link zur Publikation, Link zum Preprint

### Geometric singularities and a flow tangent to the Ricci flow

#### Autoren: Lashi Bandara, Sajjad Lakzian, Michael Munn (2017)

We consider a geometric flow introduced by Gigli and Mantegazza which, in the case of smooth compact manifolds with smooth metrics, is tangential to the Ricci flow almost-everywhere along geodesics. To study spaces with geometric singularities, we consider this flow in the context of smooth manifolds with rough metrics with sufficiently regular heat kernels. On an appropriate non-singular open region, we provide a family of metric tensors evolving in time and provide a regularity theory for this flow in terms of the regularity of the heat kernel.
When the rough metric induces a metric measure space satisfying a Riemannian Curvature Dimension condition, we demonstrate that the distance induced by the flow is identical to the evolving distance metric defined by Gigli and Mantegazza on appropriate admissible points. Consequently, we demonstrate that a smooth compact manifold with a finite number of geometric conical singularities remains a smooth manifold with a smooth metric away from the cone points for all future times. Moreover, we show that the distance induced by the evolving metric tensor agrees with the flow of RCD(K, N) spaces defined by Gigli-Mantegazza.

Zeitschrift:
Ann. Sc. Norm. Super. Pisa Cl. Sci.
Seiten:
763-804
Band:
17, no. 2

2017 | Continuity of solutions to space-varying pointwise linear elliptic equations | Lashi Bandara Zeitschrift: Publ. Mat. Seiten: 239-258 Band: 61, no. 1 Link zur Publikation, Link zum Preprint

### Continuity of solutions to space-varying pointwise linear elliptic equations

#### Autoren: Lashi Bandara (2017)

We consider pointwise linear elliptic equations of the form Lxuxx on a smooth compact manifold where the operators Lx are in divergence form with real, bounded, measurable coefficients that vary in the space variable x. We establish L2-continuity of the solution at x whenever the coefficients of Lx are L-continuous at x and the initial datum is L2-continuous at x. This is obtained by reducing the continuity of solutions to a homogeneous Kato square root problem. As an application, we consider a time evolving family of metrics g<ub>t that is tangential to the Ricci flow almost-everywhere along geodesics when starting with a smooth initial metric. Under the assumption that our initial metric is a rough metric on M with a C1 heat kernel on a "non-singular" nonempty open subset N, we show that x x↦gt(x) is continuous whenever x ∈ N.

Zeitschrift:
Publ. Mat.
Seiten:
239-258
Band:
61, no. 1

2017 | On central extensions of SL(2,F) admitting left-orderings | Brungs, H. H.; Gräter, J. Zeitschrift: Journal of Algebra 486, Seiten: 288-327

### On central extensions of SL(2,F) admitting left-orderings

#### Autoren: Brungs, H. H.; Gräter, J. (2017)

Zeitschrift:
Journal of Algebra 486, Seiten: 288-327

2017 | Mean ergodicity vs weak almost periodicity | Moritz Gerlach, Jochen Glück Zeitschrift: Studia Mathematica, to appear Link zum Preprint

### Mean ergodicity vs weak almost periodicity

#### Autoren: Moritz Gerlach, Jochen Glück (2017)

We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and power-bounded mean ergodic operator is weakly almost periodic is necessarily a KB-space. This answers several open questions from the literature.
Finally, we prove that if $T$ is a positive mean ergodic operator with zero fixed space on an arbitrary Banach lattice, then so is every power of $T$.

Zeitschrift:
Studia Mathematica, to appear

2017 | Nonlinear stability of the Milne model with matter | Lars Andersson, David Fajman Link zum Preprint

### Nonlinear stability of the Milne model with matter

#### Autoren: Lars Andersson, David Fajman (2017)

We show that any 3+1-dimensional Milne model is future nonlinearly, asymptotically stable in the set of solutions to the Einstein-Vlasov system. For the analysis of the Einstein equations we use the constant-mean-curvature-spatial-harmonic gauge. For the distribution function the proof makes use of geometric L^2-estimates based on the Sasaki-metric. The resulting estimates on the energy momentum tensor are then upgraded by employing the natural continuity equation for the energy density.

2017 | Morawetz estimate for linearized gravity in Schwarzschild | Lars Andersson, Pieter Blue, Jinhua Wang Link zum Preprint

### Morawetz estimate for linearized gravity in Schwarzschild

#### Autoren: Lars Andersson, Pieter Blue, Jinhua Wang (2017)

The equations governing the perturbations of the Schwarzschild metric satisfy the Regge-Wheeler-Zerilli-Moncrief system. Applying the technique introduced in [2], we prove an integrated local energy decay estimate for both the Regge-Wheeler and Zerilli equations. In these proofs, we use some constants that are computed numerically. Furthermore, we make use of the rp hierarchy estimates [13, 32] to prove that both the Regge-Wheeler and Zerilli variables decay as t-3/2 in fixed regions of r.

2017 | Global properties of Dirichlet forms in terms of Green's formula | aeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel; Zeitschrift: Calc. Var. Partial Differential Equations Seiten: 56-124. Band: 56 Link zum Preprint

### Global properties of Dirichlet forms in terms of Green's formula

#### Autoren: aeseler, Sebastian; Keller, Matthias; Lenz, Daniel; Masamune, Jun; Schmidt, Marcel; (2017)

Zeitschrift:
Calc. Var. Partial Differential Equations
Seiten:
56-124.
Band:
56

2017 | Geometric and spectral consequences of curvature bounds on tessellations | Matthias Keller Reihe: Lecture Notes in Mathematics Verlag: Springer Buchtitel: Modern Approaches to Discrete Curvature Band: 2184 Link zur Publikation, Link zum Preprint

### Geometric and spectral consequences of curvature bounds on tessellations

#### Autoren: Matthias Keller (2017)

Reihe:
Lecture Notes in Mathematics
Verlag:
Springer
Buchtitel:
Modern Approaches to Discrete Curvature
Band:
2184

2017 | On a Convergence Theorem for Semigroups of Positive Integral Operators | Moritz Gerlach, Jochen Glück Zeitschrift: Comptes rendus - Mathematics Seiten: 973-976 Band: 355(9) Link zur Publikation, Link zum Preprint

### On a Convergence Theorem for Semigroups of Positive Integral Operators

#### Autoren: Moritz Gerlach, Jochen Glück (2017)

We give a new and very short proof of a theorem of Greiner asserting that a positive and contractive c_0-semigroup on an L^p-space is strongly convergent in case that it has a strictly positive fixed point and contains an integral operator. Our proof is a streamlined version of a much more general approach to the asymptotic theory of positive semigroups developed recently by the authors. Under the assumptions of Greiner's theorem, this approach becomes particularly elegant and simple. We also give an outlook on several generalisations of this result.

Zeitschrift:
Comptes rendus - Mathematics
Seiten:
973-976
Band:
355(9)

2017 | How close are time series to power tail Lévy diffusions? | Jan Gairing, Michael Hoegele, Tania Kosenkova, and Adam Monahan Zeitschrift: Chaos: An Interdisciplinary Journal of Nonlinear Sciences Band: 27 (11) 073112-1--073112-20, DOI: 10.1063/1.4986496 Link zur Publikation, Link zum Preprint

### How close are time series to power tail Lévy diffusions?

#### Autoren: Jan Gairing, Michael Hoegele, Tania Kosenkova, and Adam Monahan (2017)

Zeitschrift:
Chaos: An Interdisciplinary Journal of Nonlinear Sciences
Band:
27 (11) 073112-1--073112-20, DOI: 10.1063/1.4986496

2017 | Convergence of Positive Operator Semigroups | Moritz Gerlach, Jochen Glück Zeitschrift: Transactions of the American Mathematical Society, to appear Link zum Preprint

### Convergence of Positive Operator Semigroups

#### Autoren: Moritz Gerlach, Jochen Glück (2017)

We present new conditions for semigroups of positive operators to converge strongly as time tends to infinity. Our proofs are based on a novel approach combining the well-known splitting theorem by Jacobs, de Leeuw and Glicksberg with a purely algebraic result about positive group representations. Thus we obtain convergence theorems not only for one-parameter semigroups but for a much larger class of semigroup representations.
Our results allow for a unified treatment of various theorems from the literature that, under technical assumptions, a bounded positive $C_0$-semigroup containing or dominating a kernel operator converges strongly as $t \to \infty$. We gain new insights into the structure theoretical background of those theorems and generalise them in several respects; especially we drop any kind of continuity or regularity assumption with respect
to the time parameter.
As applications we derive, inter alia, a generalisation of a famous theorem by Doob for operator semigroups on the space of measures and a Tauberian theorem for positive one-parameter semigroups under rather weak continuity assumptions. We also demonstrate how our results are useful to treat semigroups that do not satisfy any irreducibility conditions.

Zeitschrift:
Transactions of the American Mathematical Society, to appear

2017 | A new tensorial conservation law for Maxwell fields on the Kerr background | Lars Andersson, Thomas Bäckdahl, Pieter Blue Zeitschrift: J. Differential Geom. Verlag: Project Euclid Seiten: 163-176 Band: 105, no. 2 Link zur Publikation, Link zum Preprint

### A new tensorial conservation law for Maxwell fields on the Kerr background

#### Autoren: Lars Andersson, Thomas Bäckdahl, Pieter Blue (2017)

A new, conserved, symmetric tensor field for a source-free Maxwell test field on a four-dimensional spacetime with a conformal Killing–Yano tensor, satisfying a certain compatibility condition, is introduced. In particular, this construction works for the Kerr spacetime.

Zeitschrift:
J. Differential Geom.
Verlag:
Project Euclid
Seiten:
163-176
Band:
105, no. 2

2017 | Transportation distances and noise sensitivity of multiplicative Lévy SDE with applications | Jan Gairing, Michael Högele, Tetiana Kosenkova Zeitschrift: Stochastic Processes and their Applications Link zur Publikation

### Transportation distances and noise sensitivity of multiplicative Lévy SDE with applications

#### Autoren: Jan Gairing, Michael Högele, Tetiana Kosenkova (2017)

Zeitschrift:
Stochastic Processes and their Applications

2017 | Sectional curvature of polygonal complexes with planar substructures | Matthias Keller, Norbert Peyerimhoff, Felix Pogorzelski Zeitschrift: Advances in Mathematics Seiten: 1070--1107. Band: 307 Link zur Publikation, Link zum Preprint

### Sectional curvature of polygonal complexes with planar substructures

#### Autoren: Matthias Keller, Norbert Peyerimhoff, Felix Pogorzelski (2017)

In this paper we introduce a class of polygonal complexes for which we can define a notion of sectional combinatorial curvature. These complexes can be viewed as generalizations of 2-dimensional Euclidean and hyperbolic buildings. We focus on the case of non-positive and negative combinatorial curvature. As geometric results we obtain a Hadamard-Cartan type theorem, thinness of bigons, Gromov hyperbolicity and estimates for the Cheeger constant. We employ the latter to get spectral estimates, show discreteness of the spectrum in the sense of a Donnelly-Li type theorem and present corresponding eigenvalue asymptotics. Moreover, we prove a unique continuation theorem for eigenfunctions and the solvability of the Dirichlet problem at infinity.

Zeitschrift:
Seiten:
1070--1107.
Band:
307

2017 | Hadamard states for quantum Abelian duality | Marco Benini, Matteo Capoferri, Claudio Dappiaggi Zeitschrift: Ann. Henri Poincaré Verlag: Springer Seiten: 3325-3370 Band: 18, no. 10 Link zur Publikation, Link zum Preprint

### Hadamard states for quantum Abelian duality

#### Autoren: Marco Benini, Matteo Capoferri, Claudio Dappiaggi (2017)

Abelian duality is realized naturally by combining differential cohomology and locally covariant quantum field theory. This leads to a C*-algebra of observables, which encompasses the simultaneous discretization of both magnetic and electric fluxes. We discuss the assignment of physically well-behaved states to such algebra and the properties of the associated GNS triple. We show that the algebra of observables factorizes as a suitable tensor product of three C*-algebras: the first factor encodes dynamical information, while the other two capture topological data corresponding to electric and magnetic fluxes. On the former factor we exhibit a state whose two-point correlation function has the same singular structure of a Hadamard state. Specifying suitable counterparts also on the topological factors we obtain a state for the full theory, providing ultimately a unitary implementation of Abelian duality.

Zeitschrift:
Ann. Henri Poincaré
Verlag:
Springer
Seiten:
3325-3370
Band:
18, no. 10

2017 | Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System | Lars Andersson, Nishanth Gudapati, Jeremie Szeftel Zeitschrift: Ann. PDE Verlag: Springer Seiten: Art. 13 Band: 3, no. 2 Link zur Publikation, Link zum Preprint

### Global Regularity for the 2+1 Dimensional Equivariant Einstein-Wave Map System

#### Autoren: Lars Andersson, Nishanth Gudapati, Jeremie Szeftel (2017)

In this paper we consider the equivariant 2+1 dimensional Einstein-wave map system and show that if the target satisfies the so called Grillakis condition, then global existence holds. In view of the fact that the 3+1 vacuum Einstein equations with a spacelike translational Killing field reduce to a 2+1 dimensional Einstein-wave map system with target the hyperbolic plane, which in particular satisfies the Grillakis condition, this work proves global existence for the equivariant class of such spacetimes.

Zeitschrift:
Ann. PDE
Verlag:
Springer
Seiten:
Art. 13
Band:
3, no. 2

2017 | On the geometry and topology of initial data sets with horizons | Lars Andersson, Mattias Dahl, Gregory J. Galloway, Daniel Pollack Zeitschrift: to appear in Asian Journal of Mathematics Link zum Preprint

### On the geometry and topology of initial data sets with horizons

#### Autoren: Lars Andersson, Mattias Dahl, Gregory J. Galloway, Daniel Pollack (2017)

We study the relationship between initial data sets with horizons and the existence of metrics of positive scalar curvature. We define a Cauchy Domain of Outer Communications (CDOC) to be an asymptotically flat initial set $(M,g,K)$ such that the boundary $\partial M$ of $M$ is a collection of Marginally Outer (or Inner) Trapped Surfaces (MOTSs and/or MITSs) and such that $M \setminus \partial M$ contains no MOTSs or MITSs. This definition is meant to capture, on the level of the initial data sets, the well known notion of the domain of outer communications (DOC) as the region of spacetime outside of all the black holes (and white holes). Our main theorem establishes that in dimensions $3 \leq n \leq 7$, a CDOC which satisfies the dominant energy condition and has a strictly stable boundary has a positive scalar curvature metric which smoothly compactifies the asymptotically flat end and is a Riemannian product metric near the boundary where the cross sectional metric is conformal to a small perturbation of the initial metric on the boundary $\partial M$ induced by $g$. This result may be viewed as a generalization of Galloway and Schoen's higher dimensional black hole topology theorem to the exterior of the horizon. We also show how this result leads to a number of topological restrictions on the CDOC, which allows one to also view this as an extension of the initial data topological censorship theorem, established by Eichmair, Galloway, and Pollack in dimension $n = 3$, to higher dimensions.

Zeitschrift:
to appear in Asian Journal of Mathematics

2017 | Mode stability on the real axis | Lars Andersson, Siyuan Ma, Claudio Paganini, Bernard F. Whiting Zeitschrift: J. Math. Phys. Verlag: AIP Publishing Seiten: 072501 Band: 58, no. 7 Link zur Publikation, Link zum Preprint

### Mode stability on the real axis

#### Autoren: Lars Andersson, Siyuan Ma, Claudio Paganini, Bernard F. Whiting (2017)

A generalization of the mode stability result of Whiting (1989) for the Teukolsky equation is proved for the case of real frequencies. The main result of the paper states that a separated solution of the Teukolsky equation governing massless test fields on the Kerr spacetime, which is purely outgoing at infinity, and purely ingoing at the horizon, must vanish. This has the consequence, that for real frequencies, there are linearly independent fundamental solutions of the radial Teukolsky equation which are purely ingoing at the horizon, and purely outgoing at infinity, respectively. This fact yields a representation formula for solutions of the inhomogenous Teukolsky equation.

Zeitschrift:
J. Math. Phys.
Verlag:
AIP Publishing
Seiten:
072501
Band:
58, no. 7

2017 | Quantum field theories on categories fibered in groupoids | Marco Benini, Alexander Schenkel Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 19-64 Band: 356, no. 1 Link zur Publikation, Link zum Preprint

### Quantum field theories on categories fibered in groupoids

#### Autoren: Marco Benini, Alexander Schenkel (2017)

We introduce an abstract concept of quantum field theory on categories fibered in groupoids over the category of spacetimes. This provides us with a general and flexible framework to study quantum field theories defined on spacetimes with extra geometric structures such as bundles, connections and spin structures. Using right Kan extensions, we can assign to any such theory an ordinary quantum field theory defined on the category of spacetimes and we shall clarify under which conditions it satisfies the axioms of locally covariant quantum field theory. The same constructions can be performed in a homotopy theoretic framework by using homotopy right Kan extensions, which allows us to obtain first examples of homotopical quantum field theories resembling some aspects of gauge theories.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
19-64
Band:
356, no. 1

2017 | Path Integrals on Manifolds with Boundary | Matthias Ludewig Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 621-640 Band: 354, no. 2 Link zur Publikation, Link zum Preprint

### Path Integrals on Manifolds with Boundary

#### Autoren: Matthias Ludewig (2017)

We give time-slicing path integral formulas for solutions to the heat equation corresponding to a self-adjoint Laplace type operator acting on sections of a vector bundle over a compact Riemannian manifold with boundary. More specifically, we show that such a solution can be approximated by integrals over finite-dimensional path spaces of piecewise geodesics subordinated to increasingly fine partitions of the time interval. We consider a subclass of mixed boundary conditions which includes standard Dirichlet and Neumann boundary conditions.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
621-640
Band:
354, no. 2

2017 | Exact simulation of Brownian diffusions with drift admitting jumps | David Dereudre, Sara Mazzonetto, Sylvie Roelly Zeitschrift: SIAM J. Sci. Comput., 39(3) Seiten: A711–A740 Link zur Publikation, Link zum Preprint

### Exact simulation of Brownian diffusions with drift admitting jumps

#### Autoren: David Dereudre, Sara Mazzonetto, Sylvie Roelly (2017)

Zeitschrift:
SIAM J. Sci. Comput., 39(3)
Seiten:
A711–A740

2017 | Poisson algebras for non-linear field theories in the Cahiers topos | Marco Benini, Alexander Schenkel Zeitschrift: Ann. Henri Poincare Verlag: Springer Seiten: 1435-1464 Band: 18, no. 4 Link zur Publikation, Link zum Preprint

### Poisson algebras for non-linear field theories in the Cahiers topos

#### Autoren: Marco Benini, Alexander Schenkel (2017)

We develop an approach to construct Poisson algebras for non-linear scalar field theories that is based on the Cahiers topos model for synthetic differential geometry. In this framework the solution space of the field equation carries a natural smooth structure and, following Zuckerman's ideas, we can endow it with a presymplectic current. We formulate the Hamiltonian vector field equation in this setting and show that it selects a family of observables which forms a Poisson algebra. Our approach provides a clean splitting between geometric and algebraic aspects of the construction of a Poisson algebra, which are sufficient to guarantee existence, and analytical aspects that are crucial to analyze its properties.

Zeitschrift:
Ann. Henri Poincare
Verlag:
Springer
Seiten:
1435-1464
Band:
18, no. 4

2017 | Bridge mixtures of random walks on an Abelian group | G. Conforti and S. Roelly Zeitschrift: Bernoulli Seiten: 1518-1537 Band: 23, No. 3 Link zur Publikation

### Bridge mixtures of random walks on an Abelian group

#### Autoren: G. Conforti and S. Roelly (2017)

Zeitschrift:
Bernoulli
Seiten:
1518-1537
Band:
23, No. 3

2017 | Path-dependent infinite-dimensional SDE with non-regular drift: an existence result. | David Dereudre, Sylvie Roelly Zeitschrift: Annales de l'Institut Henri Poincaré - Probabilités et Statistiques Seiten: 641–657 Band: 53 No.2 Link zur Publikation

### Path-dependent infinite-dimensional SDE with non-regular drift: an existence result.

#### Autoren: David Dereudre, Sylvie Roelly (2017)

Zeitschrift:
Annales de l'Institut Henri Poincaré - Probabilités et Statistiques
Seiten:
641–657
Band:
53 No.2

2017 | Reciprocal class of jump processes | G. Conforti, P. dai Pra and S. Roelly Zeitschrift: Journal of Theoretical Probability Seiten: 551-580 Band: 30-2 Link zur Publikation

### Reciprocal class of jump processes

#### Autoren: G. Conforti, P. dai Pra and S. Roelly (2017)

Zeitschrift:
Journal of Theoretical Probability
Seiten:
551-580
Band:
30-2

2017 | Abelian duality on globally hyperbolic spacetimes | Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 361-392 Band: 349, no. 1 Link zur Publikation, Link zum Preprint

### Abelian duality on globally hyperbolic spacetimes

#### Autoren: Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo (2017)

We study generalized electric/magnetic duality in Abelian gauge theory by combining techniques from locally covariant quantum field theory and Cheeger-Simons differential cohomology on the category of globally hyperbolic Lorentzian manifolds. Our approach generalizes previous treatments using the Hamiltonian formalism in a manifestly covariant way and without the assumption of compact Cauchy surfaces. We construct semi-classical configuration spaces and corresponding presymplectic Abelian groups of observables, which are quantized by the CCR-functor to the category of C*-algebras. We demonstrate explicitly how duality is implemented as a natural isomorphism between quantum field theories. We apply this formalism to develop a fully covariant quantum theory of self-dual fields.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
361-392
Band:
349, no. 1

2017 | Differential cohomology and locally covariant quantum field theory | Christian Becker, Alexander Schenkel, Richard J. Szabo Zeitschrift: Rev. Math. Phys. Verlag: World Scientific Seiten: 1750003 Band: 29, no. 1 Link zur Publikation, Link zum Preprint

### Differential cohomology and locally covariant quantum field theory

#### Autoren: Christian Becker, Alexander Schenkel, Richard J. Szabo (2017)

We study differential cohomology on categories of globally hyperbolic Lorentzian manifolds. The Lorentzian metric allows us to define a natural transformation whose kernel generalizes Maxwell's equations and fits into a restriction of the fundamental exact sequences of differential cohomology. We consider smooth Pontryagin duals of differential cohomology groups, which are subgroups of the character groups. We prove that these groups fit into smooth duals of the fundamental exact sequences of differential cohomology and equip them with a natural presymplectic structure derived from a generalized Maxwell Lagrangian. The resulting presymplectic Abelian groups are quantized using the CCR-functor, which yields a covariant functor from our categories of globally hyperbolic Lorentzian manifolds to the category of C*-algebras. We prove that this functor satisfies the causality and time-slice axioms of locally covariant quantum field theory, but that it violates the locality axiom. We show that this violation is precisely due to the fact that our functor has topological subfunctors describing the Pontryagin duals of certain singular cohomology groups. As a byproduct, we develop a Fr\'echet-Lie group structure on differential cohomology groups.

Zeitschrift:
Rev. Math. Phys.
Verlag:
World Scientific
Seiten:
1750003
Band:
29, no. 1

2017 | Magnetic Geodesics via the Heat Flow | Volker Branding, Florian Hanisch Zeitschrift: Asian Journal of Mathematics Verlag: International Press Seiten: 995-1014 Band: 21, no. 6 Link zur Publikation, Link zum Preprint

### Magnetic Geodesics via the Heat Flow

#### Autoren: Volker Branding, Florian Hanisch (2017)

Magnetic geodesics describe the trajectory of a particle in a Riemannian manifold under the influence of an external magnetic field. In this article, we use the heat flow method to derive existence results for such curves. We first establish subconvergence of this flow to a magnetic geodesic under certain boundedness assumptions. It is then shown that these conditions are satisfied provided that either the magnetic field admits a global potential or the initial curve is sufficiently small. Finally, we discuss different examples which illustrate our results.

Zeitschrift:
Asian Journal of Mathematics
Verlag:
International Press
Seiten:
995-1014
Band:
21, no. 6

2016 | Continuity of the Spectrum of a Field of Self-Adjoint Operators | Siegfried Beckus, Jean Bellissard Zeitschrift: Annales Henri Poincaré Reihe: 17 Seiten: 3425 - 3442 Link zur Publikation, Link zum Preprint

### Continuity of the Spectrum of a Field of Self-Adjoint Operators

#### Autoren: Siegfried Beckus, Jean Bellissard (2016)

Zeitschrift:
Annales Henri Poincaré
Reihe:
17
Seiten:
3425 - 3442

2016 | Stable varieties of semigroups and groupoids | Koppitz, J. and Shtrakov, Sl. Zeitschrift: Algebra Universalis Band: 75 no. 1

### Stable varieties of semigroups and groupoids

#### Autoren: Koppitz, J. and Shtrakov, Sl. (2016)

Zeitschrift:
Algebra Universalis
Band:
75 no. 1

2016 | Generating sets of infinite full transformation semigroups with restricted range | Tinpun, K. and Koppitz J Zeitschrift: Acta Sci. Math. (Szeged) Band: 82

### Generating sets of infinite full transformation semigroups with restricted range

#### Autoren: Tinpun, K. and Koppitz J (2016)

Zeitschrift:
Acta Sci. Math. (Szeged)
Band:
82

2016 | Relative Rank of the Finite Full Transformation Semigroup with Restricted Range | Tinpun, K. and Koppitz, J. Zeitschrift: Acta Math. Univ. Comenianae Band: Vol. LXXXV, No. 2

### Relative Rank of the Finite Full Transformation Semigroup with Restricted Range

#### Autoren: Tinpun, K. and Koppitz, J. (2016)

Zeitschrift:
Acta Math. Univ. Comenianae
Band:
Vol. LXXXV, No. 2

2016 | Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set | Koppitz, J. and Musunthia, T. Zeitschrift: Forum Mathematicum Link zur Publikation

### Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set

#### Autoren: Koppitz, J. and Musunthia, T. (2016)

Zeitschrift:
Forum Mathematicum

2016 | On a Semigroup of Sets of Transformations with Restricted Range | Anantayasthi, A, and Koppitz, J. Zeitschrift: Thai Journal of Mathematics Band: 14, no. 3

### On a Semigroup of Sets of Transformations with Restricted Range

#### Autoren: Anantayasthi, A, and Koppitz, J. (2016)

Zeitschrift:
Thai Journal of Mathematics
Band:
14, no. 3

2016 | Zahlverständnis mit dem Tablet unterstützen | Heiko Etzold Zeitschrift: Inklusiver Mathematikunterricht – Mathematiklernen in ausgewählten Förderschwerpunkten : Tagungsband des AK Grundschule in der GDM 2016 Seiten: 81-84

### Zahlverständnis mit dem Tablet unterstützen

#### Autoren: Heiko Etzold (2016)

Zeitschrift:
Inklusiver Mathematikunterricht – Mathematiklernen in ausgewählten Förderschwerpunkten : Tagungsband des AK Grundschule in der GDM 2016
Seiten:
81-84

2016 | Neue Zugänge zum Winkelbegriff – Vorstellung eines Promotionsprojektes | Heiko Etzold Zeitschrift: Beiträge zum Mathematikunterricht 2016. Vorträge auf der 50. GDM Tagung für Didaktik der Mathematik. Band 1, 2 und 3. Seiten: 257-260

### Neue Zugänge zum Winkelbegriff – Vorstellung eines Promotionsprojektes

#### Autoren: Heiko Etzold (2016)

Zeitschrift:
Beiträge zum Mathematikunterricht 2016. Vorträge auf der 50. GDM Tagung für Didaktik der Mathematik. Band 1, 2 und 3.
Seiten:
257-260

2016 | Guck hier - guck dort. Das Klassenzimmer aus verschiedenen Blickwinkeln betrachtet | Heiko Etzold Zeitschrift: Grundschulunterricht Mathematik Seiten: 30-34

### Guck hier - guck dort. Das Klassenzimmer aus verschiedenen Blickwinkeln betrachtet

#### Autoren: Heiko Etzold (2016)

Zeitschrift:
Grundschulunterricht Mathematik
Seiten:
30-34

2016 | Die Kraft des Fünfecks. Argumentationsanlässe für dynamische Betrachtungen | Heiko Etzold, Ines Petzschler Zeitschrift: Praxis der Mathematik in der Schule Seiten: 30-33 Band: 58

### Die Kraft des Fünfecks. Argumentationsanlässe für dynamische Betrachtungen

#### Autoren: Heiko Etzold, Ines Petzschler (2016)

Zeitschrift:
Praxis der Mathematik in der Schule
Seiten:
30-33
Band:
58

2016 | Touch2Learn: Multi-Touch Lernumgebungen explorativ erforschen. | Christian Dohrmann Verlag: Hohengehren: Schneider Verlag Buchtitel: In Peschel, M. (Hrsg.), Mediales Lernen – Beispiele für eine inklusive Mediendidaktik. Seiten: 95-104

### Touch2Learn: Multi-Touch Lernumgebungen explorativ erforschen.

#### Autoren: Christian Dohrmann (2016)

Verlag:
Hohengehren: Schneider Verlag
Buchtitel:
In Peschel, M. (Hrsg.), Mediales Lernen – Beispiele für eine inklusive Mediendidaktik.
Seiten:
95-104

2016 | Vorwärts-Rückwärts zum Begriff. Konstruktion und Re-Konstruktion von Zugfiguren. | Ulrich Kortenkamp, Christian Dohrmann Zeitschrift: Mathematik lehren Seiten: 18-21 Band: 33

### Vorwärts-Rückwärts zum Begriff. Konstruktion und Re-Konstruktion von Zugfiguren.

#### Autoren: Ulrich Kortenkamp, Christian Dohrmann (2016)

Zusammenfassung: Zugfiguren, d.h. dynamische Realisierungen von Konstruktionen im DGS, sind ein gutes Werkzeug, um die heuristischen Strategien des Vorwärts- und Rückwärtsarbeiten zu unterstützen. Was muss man über ein Parallelogramm (oder ein anderes spezielles Viereck) wissen, um dieses zu (re-)konstruieren? Die Beschäftigung damit führt zu elementaren Konstruktionsschritten wie auch zu den Typ-bestimmenden Eigenschaften spezieller Vierecke.

Zeitschrift:
Mathematik lehren
Seiten:
18-21
Band:
33

2016 | Und er ist drin! Drin! Drin! | Ulrich Kortenkam, Jürgen Richter-Gebert Verlag: Verlag Klaus Seeberger Buchtitel: Digitale Werkzeuge für den Mathematikunterricht Seiten: 296-308

### Und er ist drin! Drin! Drin!

#### Autoren: Ulrich Kortenkam, Jürgen Richter-Gebert (2016)

Verlag:
Verlag Klaus Seeberger
Buchtitel:
Digitale Werkzeuge für den Mathematikunterricht
Seiten:
296-308

2016 | Recent research on geometry education: an ICME-13 survey team report | Nathalie Sinclair, Maria G. Bartolini Bussi, Michael de Villiers, Ulrich Kortenkamp, Allen Leung, Kay Owens Seiten: 1–29 Link zur Publikation

### Recent research on geometry education: an ICME-13 survey team report

#### Autoren: Nathalie Sinclair, Maria G. Bartolini Bussi, Michael de Villiers, Ulrich Kortenkamp, Allen Leung, Kay Owens (2016)

This survey on the theme of Geometry Education (including new technologies) focuses chiefly on the time span since 2008. Based on our review of the research literature published during this time span (in refereed journal articles, conference proceedings and edited books), we have jointly identified seven major threads of contributions that span from the early years of learning (pre-school and primary school) through to post-compulsory education and to the issue of mathematics teacher education for geometry. These threads are as follows: developments and trends in the use of theories; advances in the understanding of visuo spatial reasoning; the use and role of diagrams and gestures; advances in the understanding of the role of digital technologies; advances in the understanding of the teaching and learning of definitions; advances in the understanding of the teaching and learning of the proving process; and, moving beyond traditional Euclidean approaches. Within each theme, we identify relevant research and also offer commentary on future directions.

Seiten:
1–29

2016 | Model Development in Scientific Discovery Learning with a Computer-Based Physics Task | Saskia Kistner, Regina Vollmeyer, Bruce D. Burns, Ulrich Kortenkamp Zeitschrift: Computers in Human Behaviour Link zur Publikation

### Model Development in Scientific Discovery Learning with a Computer-Based Physics Task

#### Autoren: Saskia Kistner, Regina Vollmeyer, Bruce D. Burns, Ulrich Kortenkamp (2016)

Based on theories of scientific discovery learning and conceptual change, this study explores students' preconceptions in the domain of torques in physics and the development of these conceptions while learning with a scientific discovery learning task. Referring to a three-space theory of scientific discovery learning (Burns & Vollmeyer, 2000), the focus was on the content of model space, which is supposed to contain the current conceptualization/model of the learning domain, and on its change through hypothesis testing and experimenting. A multiple-choice test for assessing students' models of torques was developed and used in a study with secondary school students (N=47) who learned about torques using computer simulations. We identified those aspects of torques about which students had physically correct conceptions, and those about which misconceptions were predominant. Working with the computer simulations led to replacement of some misconceptions with physically correct conceptions, though some misconceptions were still common after learning. Analyzing individual differences in model development, we found that an intense use of the simulations was associated with the acquisition of correct conceptions. The three-space theory provided a useful framework for understanding conceptual change in scientific discovery learning.

Zeitschrift:
Computers in Human Behaviour

2016 | Mathematikfortbildungen mit E-Learning gestalten | Axel Blessing, Christian Dohrmann, Ulrich Kortenkamp Zeitschrift: Beiträge zum Mathematikunterricht Verlag: WTM Verlag

### Mathematikfortbildungen mit E-Learning gestalten

#### Autoren: Axel Blessing, Christian Dohrmann, Ulrich Kortenkamp (2016)

Zeitschrift:
Beiträge zum Mathematikunterricht
Verlag:
WTM Verlag

2016 | Jonathan M Borwein (1951–2016): exploring, experiencing and experimenting in mathematics – an inspiring journey in mathematics. | Ulrich Kortenkamp, John Monaghan,Luc Trouche Zeitschrift: Educational Studies in Mathematics Seiten: 131-136 Band: 93

### Jonathan M Borwein (1951–2016): exploring, experiencing and experimenting in mathematics – an inspiring journey in mathematics.

#### Autoren: Ulrich Kortenkamp, John Monaghan,Luc Trouche (2016)

Summary: Jonathan M Borwein died on August 2nd. He was a major figure in the field of experimental mathematics. His death, at 65, was an astonishment for his family and his colleagues. We three, as mathematics educators who have worked with Jon, have been asked to pay homage to his life and his work. But we three have only shared a part of Jon's tremendous appetite for life and work, so we barely scratch the surface of the significance of his work. Ulli writes about Jon's experimental mathematics, Luc writes about the implications of Jon's work for mathematics education and John writes about Jon, culture and mathematics.

Zeitschrift:
Educational Studies in Mathematics
Seiten:
131-136
Band:
93

2016 | Development of a Flexible Understanding of Place Value | Silke Ladel, Ulrich Kortenkamp Verlag: Springer International Publishing Buchtitel: Mathematics Education in the Early Years: Results from the POEM2 Conference, 2014 Seiten: 289–307 Link zur Publikation

### Development of a Flexible Understanding of Place Value

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2016)

Verlag:
Springer International Publishing
Buchtitel:
Mathematics Education in the Early Years: Results from the POEM2 Conference, 2014
Seiten:
289–307

2016 | CindyJS. Mathematical visualization on modern devices | Martin von Gagern, Ulrich Kortenkamp, Jürgen Richter-Gebert, Michael Strobel Zeitschrift: Mathematical Software – ICMS 2016: 5th International Conference Reihe: Lecture Notes in Computer Science, vol 9725 Verlag: Springer International Publishing Seiten: 319–326 Link zur Publikation

### CindyJS. Mathematical visualization on modern devices

#### Autoren: Martin von Gagern, Ulrich Kortenkamp, Jürgen Richter-Gebert, Michael Strobel (2016)

The CindyJS Project brings interactive mathematical visualization to a broad variety of devices. Using projective geometry, homotopy methods and well tuned algorithms the CindyJS project is one of the first real time capable software projects in this field that at the same time approaches high-level mathematical descriptions and performance.

Zeitschrift:
Mathematical Software – ICMS 2016: 5th International Conference
Reihe:
Lecture Notes in Computer Science, vol 9725
Verlag:
Springer International Publishing
Seiten:
319–326

2016 | Artifact-Centric Activity Theory—A Framework for the Analysis of the Design and Use of Virtual Manipulatives | Silke Ladel, Ulrich Kortenkamp Verlag: Springer International Publishing Buchtitel: International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives Seiten: 25–40 Link zur Publikation

### Artifact-Centric Activity Theory—A Framework for the Analysis of the Design and Use of Virtual Manipulatives

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2016)

Verlag:
Springer International Publishing
Buchtitel:
International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives
Seiten:
25–40

2016 | Pseudodiffential analysis with twisted symbolic structure | D.-C. Chang, M. Hedayat Mahmoudi and B.-W. Schulze Zeitschrift: Journal of nonlinear and convex analysis Seiten: pp. 1889-1937 Band: 17, n.9 Link zur Publikation

### Pseudodiffential analysis with twisted symbolic structure

#### Autoren: D.-C. Chang, M. Hedayat Mahmoudi and B.-W. Schulze (2016)

Zeitschrift:
Journal of nonlinear and convex analysis
Seiten:
pp. 1889-1937
Band:
17, n.9

2016 | Deformation quantisation and boundary value problems | Nikolai Tarkhanov Zeitschrift: Int. J. Geom. Methods Mod. Phys. Band: 13 Link zur Publikation, Link zum Preprint

### Deformation quantisation and boundary value problems

#### Autoren: Nikolai Tarkhanov (2016)

We describe a natural construction of deformation quantization on a compact symplectic manifold with boundary. On the algebra of quantum observables a trace functional is defined which as usual annihilates the commutators. This gives rise to an index as the trace of the unity element. We formulate the index theorem as a conjecture and examine it by the classical harmonic oscillator.

Zeitschrift:
Int. J. Geom. Methods Mod. Phys.
Band:
13

2016 | Jenkins-Serrin-type results for the Jang equation | Michael Eichmair and Jan Metzger Zeitschrift: J. Differential Geom. Seiten: 207–242 Band: 102 Link zum Preprint

### Jenkins-Serrin-type results for the Jang equation

#### Autoren: Michael Eichmair and Jan Metzger (2016)

Zeitschrift:
J. Differential Geom.
Seiten:
207–242
Band:
102

2016 | Modified iterative Runge-Kutta-type methods for non-linear ill-posed problems | P. Pornsawad, C. Böckmann Zeitschrift: Numerical Functional Analysis and Optimization (2016)

### Modified iterative Runge-Kutta-type methods for non-linear ill-posed problems

#### Autoren: P. Pornsawad, C. Böckmann (2016)

Zeitschrift:
Numerical Functional Analysis and Optimization (2016)

2016 | Microphysical particle properties derived from inversion algorithms developedin the frame of EARLINET | D. Müller, C. Böckmann, A. Kolgotin, L. Schneidenbach, E. Chemyakin, J. Rosemann, P. Znak, and A. Romanov Zeitschrift: Atmos. Meas. Tech. 9 (2016) 5007-5035

### Microphysical particle properties derived from inversion algorithms developedin the frame of EARLINET

#### Autoren: D. Müller, C. Böckmann, A. Kolgotin, L. Schneidenbach, E. Chemyakin, J. Rosemann, P. Znak, and A. Romanov (2016)

Zeitschrift:
Atmos. Meas. Tech. 9 (2016) 5007-5035

2016 | Long-time stability and accuracy of the ensemble Kalman-Bucy filter for fully observed processes and small measurement noise | J. de Wiljes, S. Reich, W. Stannat Zeitschrift: technical report

### Long-time stability and accuracy of the ensemble Kalman-Bucy filter for fully observed processes and small measurement noise

#### Autoren: J. de Wiljes, S. Reich, W. Stannat (2016)

Zeitschrift:
technical report

2016 | Multilevel ensemble transform particle filter | A. Gregory, C. Cotter, S. Reich Zeitschrift: SIAM J Scientific Computing, 38, A1317-A1338

### Multilevel ensemble transform particle filter

#### Autoren: A. Gregory, C. Cotter, S. Reich (2016)

Zeitschrift:
SIAM J Scientific Computing, 38, A1317-A1338

2016 | Elliptic perturbation of dynamical systems with a proper node | O. Sultanov, L. Kalyakin, and N. Tarkhanov Zeitschrift: Contemporary Mathematics Band: 67 Link zum Preprint

### Elliptic perturbation of dynamical systems with a proper node

#### Autoren: O. Sultanov, L. Kalyakin, and N. Tarkhanov (2016)

• The paper is devoted to asymptotic analysis of the Dirichlet problem for a second order partial differential equation containing a small parameter multiplying the highest order derivatives. It corresponds to a small perturbation of a dynamical system having a stationary solution in the domain. We focus on the case where the trajectories of the system go into the domain and the stationary solution is a proper node.
Zeitschrift:
Contemporary Mathematics
Band:
67

2016 | On the convergence rate of continuous Newton method | A. Gibali, D. Shoikhet, and N. Tarkhanov Reihe: Contemporary Mathematics Seiten: 1--13 Band: 62 Link zur Publikation, Link zum Preprint

### On the convergence rate of continuous Newton method

#### Autoren: A. Gibali, D. Shoikhet, and N. Tarkhanov (2016)

In this paper we study the convergence of continuous Newton method for solving nonlinear equations with holomorphic mappings in complex Banach spaces. Our contribution is based on a recent progress in the geometric theory of spirallike functions. We prove convergence theorems and illustrate them by numerical simulations.

Reihe:
Contemporary Mathematics
Seiten:
1--13
Band:
62

2016 | Solving the Dyson–Schwinger equation around its first singularities in the Borel plane | Pierre J. Clavier and Marc P. Bellon Zeitschrift: Front. Phys. Band: 11 (6) Link zur Publikation, Link zum Preprint

### Solving the Dyson–Schwinger equation around its first singularities in the Borel plane

#### Autoren: Pierre J. Clavier and Marc P. Bellon (2016)

The Dyson–Schwinger equation of the massless Wess–Zumino model is written as an equation over the anomalous dimension of the theory. Its asymptotic behavior is derived and the procedure to compute the perturbations of this asymptotic behavior is detailed. This procedure uses ill-defined objects. To solve this, the Dyson–Schwinger equation is rewritten for the Borel plane. It is shown that the illdefined procedure in the physical plane can be applied in the Borel plane. Other results obtained in the Borel plane are stated and the proof for one result is described.

Zeitschrift:
Front. Phys.
Band:
11 (6)

2016 | A hybrid ensemble transform filter for high dimensional dynamical systems | N. Chustagulprom, S. Reich, M. Reinhardt Zeitschrift: SIAM/ASA Journal on Uncertainty Quantification, 4, 552-591

### A hybrid ensemble transform filter for high dimensional dynamical systems

#### Autoren: N. Chustagulprom, S. Reich, M. Reinhardt (2016)

Zeitschrift:
SIAM/ASA Journal on Uncertainty Quantification, 4, 552-591

2016 | Towards the assimilation of tree-ring-width records using ensemble Kalman filtering techniques | W. Acevedo, S. Reich, U. Cubasch Zeitschrift: Climate Dynamics, 46 , 1909-1920

### Towards the assimilation of tree-ring-width records using ensemble Kalman filtering techniques

#### Autoren: W. Acevedo, S. Reich, U. Cubasch (2016)

Zeitschrift:
Climate Dynamics, 46 , 1909-1920

2016 | Boundary value problems for elliptic complexes | D. Fedchenko and N. Tarkhanov Zeitschrift: Far East J. of Math. Sci. Seiten: 1401--1420 Band: 100 Link zum Preprint

### Boundary value problems for elliptic complexes

#### Autoren: D. Fedchenko and N. Tarkhanov (2016)

The aim of this paper is to bring together two areas which are of great importance for the study of overdetermined boundary value problems. The first area is homological algebra which is the main tool in constructing the formal theory of overdetermined problems. And the second area is the global calculus of pseudodifferential operators which allows one to develop explicit analysis.

Zeitschrift:
Far East J. of Math. Sci.
Seiten:
1401--1420
Band:
100

2016 | A Radó theorem for p-harmonic functions | I. Ly and N. Tarkhanov Zeitschrift: Boletín de la Sociedad Matemática Mexicana Link zur Publikation, Link zum Preprint

### A Radó theorem for p-harmonic functions

#### Autoren: I. Ly and N. Tarkhanov (2016)

Let A be a nonlinear differential operator on an open set X ⊂ Rn and S a closed subset of X . Given a class F of functions in X , the set S is said to be removable for F relative to A if any weak solution of A(u) = 0 in X \S of class F satisfies this equation weakly in all of X. For the most extensively studied classes F, we show conditions on S which guarantee that S is removable for F relative to A.

Zeitschrift:
Boletín de la Sociedad Matemática Mexicana

2016 | A Hilbert boundary value problem for generalised Cauchy-Riemann equations | A. Alsaedy and N. Tarkhanov Zeitschrift: Advances in Applied Clifford Algebras Seiten: 931–953 Band: 27 Link zur Publikation

### A Hilbert boundary value problem for generalised Cauchy-Riemann equations

#### Autoren: A. Alsaedy and N. Tarkhanov (2016)

We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy–Riemann equations. The boundary value problem need not satisfy the Shapiro–Lopatinskij condition and so it fails to be Fredholm in Sobolev spaces. We show a solvability condition of the Hilbert problem, which looks like those for ill-posed problems, and construct an explicit formula for approximate solutions.

Zeitschrift:
Seiten:
931–953
Band:
27

2016 | Alien calculus and a Schwinger--Dyson equation: two-point function with a nonperturbative mass scale | Marc P. Bellon, Pierre J. Clavier Link zum Preprint

### Alien calculus and a Schwinger--Dyson equation: two-point function with a nonperturbative mass scale

#### Autoren: Marc P. Bellon, Pierre J. Clavier (2016)

Starting from the Schwinger--Dyson equation and the renormalization group equation for the massless Wess--Zumino model, we compute the dominant nonperturbative contributions to the anomalous dimension of the theory, which are related by alien calculus to singularities of the Borel transform on integer points. The sum of these dominant contributions has an analytic expression. When applied to the two-point function, this analysis gives a tame evolution in the deep euclidean domain at this approximation level, making doubtful the arguments on the triviality of the quantum field theory with positive $$\beta$$-function. On the other side, we have a singularity of the propagator for time like momenta of the order of the renormalization group invariant scale of the theory, which has a nonperturbative relationship with the renormalization point of the theory. All these results do not seem to have an interpretation in terms of semiclassical analysis of a Feynman path integral.

2016 | Spectral $\zeta$-invariants lifted to coverings | Sara Azzali, Sylvie Paycha Link zum Preprint

### Spectral $\zeta$-invariants lifted to coverings

#### Autoren: Sara Azzali, Sylvie Paycha (2016)

The canonical trace and the Wodzicki residue on classical pseudodifferential operators on a closed manifold are shown to be preserved under lifting to  the universal covering as a result of  their local feature. In contrast,  regularised traces, such as $\zeta$-regularised traces, are shown to differ from their lifted counterpart by an ordinary trace of an operator with smooth kernel. The latter vanishes for regularised traces of differential operators; the $\Z_2$-graded generalisation of this statement  yields back Atiyah's $L^2$-index theorem.  In contrast, the eta invariant of an essentially self-adjoint invertible differential operator differs from the $L^2$-eta invariant of its lift by an ordinary trace of some operator with smooth kernel.

More generally, we prove that due to their local feature, defect formula that express discrepancies of regularised traces for integer order classical pseudodifferential on closed manifolds, lift to their universal covering.

2016 | Bivariant K-theory with R/Z-coefficients and rho classes of unitary representations | Paolo Antonini, Sara Azzali and Georges Skandalis Zeitschrift: J. Funct. Anal. Verlag: Elsevier Seiten: 447-481 Band: 270, 1 Link zur Publikation, Link zum Preprint

### Bivariant K-theory with R/Z-coefficients and rho classes of unitary representations

#### Autoren: Paolo Antonini, Sara Azzali and Georges Skandalis (2016)

We construct equivariant $KK$-theory with coefficients in $\R$ and $\R/\Z$ as suitable inductive limits over ${\rm II}_1$-factors. We show that the Kasparov product, together with its usual functorial properties, extends to $KK$-theory with real coefficients.

Let $\Gamma$ be a group. We define a $\Gamma$-algebra $A$  to be \emph{$K$-theoretically free and proper} (KFP) if  the group trace ${\bf tr}$ of $\Gamma$ acts as the unit element in $KK^\Gamma_\R(A,A)$. We show that free and proper $\Gamma$-algebras (in the sense of Kasparov) have the (KFP) property. Moreover, if $\Gamma$ is torsion free and satisfies the $KK^\Gamma$-form of the Baum-Connes conjecture, then every $\Gamma$-algebra satisfies (KFP).

If $\alpha:\Gamma\to U_n$ is a unitary representation and $A$ satisfies property (KFP), we construct in a canonical way a rho class $\rho_\alpha^A\in KK_{\R/\Z}^{1,\Gamma}(A,A)$. This construction generalizes the Atiyah-Patodi-Singer $K$-theory class with $\R/\Z$ coefficients associated to $\alpha$.

Zeitschrift:
J. Funct. Anal.
Verlag:
Elsevier
Seiten:
447-481
Band:
270, 1

2016 | Tight (Lower) Bounds for the Fixed Budget Best Arm Identification Bandit Problem | A. Carpentier and A. Locatelli Zeitschrift: In the Journal of Machine Learning Research W&CP (COLT) Seiten: 1–15 Band: 49 Link zur Publikation, Link zum Preprint

### Tight (Lower) Bounds for the Fixed Budget Best Arm Identification Bandit Problem

#### Autoren: A. Carpentier and A. Locatelli (2016)

Zeitschrift:
In the Journal of Machine Learning Research W&CP (COLT)
Seiten:
1–15
Band:
49

2016 | An optimal algorithm for the Thresholding Bandit Problem | A. Locatelli, M. Gutzeit, A. Carpentier. Zeitschrift: In the Journal of Machine Learning Research W&CP (ICML) Seiten: 1690–1698 Band: 48 Link zur Publikation

### An optimal algorithm for the Thresholding Bandit Problem

#### Autoren: A. Locatelli, M. Gutzeit, A. Carpentier. (2016)

Zeitschrift:
In the Journal of Machine Learning Research W&CP (ICML)
Seiten:
1690–1698
Band:
48

2016 | Pliable Rejection Sampling | A. Erraqabi, M. Valko, A. Carpentier, O. Maillard Zeitschrift: In the Journal of Machine Learning Research W&CP (ICML) Seiten: 2121–2129 Band: 48 Link zur Publikation

### Pliable Rejection Sampling

#### Autoren: A. Erraqabi, M. Valko, A. Carpentier, O. Maillard (2016)

Zeitschrift:
In the Journal of Machine Learning Research W&CP (ICML)
Seiten:
2121–2129
Band:
48

2016 | Revealing Graph Bandits for Maximizing Local Influence | A. Carpentier and M. Valko Zeitschrift: In the Journal of Machine Learning Research W&CP (AISTATS) Seiten: 10-18 Band: 51 Link zur Publikation, Link zum Preprint

### Revealing Graph Bandits for Maximizing Local Influence

#### Autoren: A. Carpentier and M. Valko (2016)

Zeitschrift:
In the Journal of Machine Learning Research W&CP (AISTATS)
Seiten:
10-18
Band:
51

2016 | Learning Relationships between data obtained independently | A. Carpentier and T. Schlueter Zeitschrift: In the Journal of Machine Learning Research W&CP (AISTATS) Seiten: 658–666 Band: 51 Link zur Publikation, Link zum Preprint

### Learning Relationships between data obtained independently

#### Autoren: A. Carpentier and T. Schlueter (2016)

Zeitschrift:
In the Journal of Machine Learning Research W&CP (AISTATS)
Seiten:
658–666
Band:
51

2016 | Convergence rates of Kernel Conjugate Gradient for random design regression. | G. Blanchard, N. Krämer Zeitschrift: Analysis and Applications Seiten: 763-794 Band: 14(6) Link zum Preprint

### Convergence rates of Kernel Conjugate Gradient for random design regression.

#### Autoren: G. Blanchard, N. Krämer (2016)

Zeitschrift:
Analysis and Applications
Seiten:
763-794
Band:
14(6)

2016 | Combining Multiple Hypothesis Testing with Machine Learning Increases the Statistical Power of Genome-wide Association Studies | B. Mieth, M. Kloft, J. A. Rodríguez, S. Sonnenburg, R. Vobruba, C. Morcillo-Suárez, X. Farré, U.M. Marigorta, E. Fehr, T. Dickhaus, G. Blanchard, D. Schunk, A. Navarro & K.-R. Müller Zeitschrift: Scientific Reports Seiten: 36671 Band: 6 Link zur Publikation

### Combining Multiple Hypothesis Testing with Machine Learning Increases the Statistical Power of Genome-wide Association Studies

#### Autoren: B. Mieth, M. Kloft, J. A. Rodríguez, S. Sonnenburg, R. Vobruba, C. Morcillo-Suárez, X. Farré, U.M. Marigorta, E. Fehr, T. Dickhaus, G. Blanchard, D. Schunk, A. Navarro & K.-R. Müller (2016)

Zeitschrift:
Scientific Reports
Seiten:
36671
Band:
6

2016 | Classification with asymmetric label noise: Consistency and maximal denoising | G. Blanchard, M. Flaska, G. Handy, S. Pozzi, C. Scott Zeitschrift: Electronic Journal of Statistics Seiten: 2780-2824 Band: 10(2) Link zur Publikation

### Classification with asymmetric label noise: Consistency and maximal denoising

#### Autoren: G. Blanchard, M. Flaska, G. Handy, S. Pozzi, C. Scott (2016)

Zeitschrift:
Electronic Journal of Statistics
Seiten:
2780-2824
Band:
10(2)

2016 | Extensions of stability selection using subsamples of observations and covariates | A. Beinrucker, Ü. Dogan, G. Blanchard. Zeitschrift: Statistics and Computing Seiten: 1059-1077 Band: 26 Link zur Publikation

### Extensions of stability selection using subsamples of observations and covariates

#### Autoren: A. Beinrucker, Ü. Dogan, G. Blanchard. (2016)

Zeitschrift:
Statistics and Computing
Seiten:
1059-1077
Band:
26

2016 | The Kato square root problem on vector bundles with generalised bounded geometry | Lashi Bandara, Alan McIntosh Zeitschrift: J. Geom. Anal. Verlag: Springer Seiten: 428-462 Band: 26, no. 1 Link zur Publikation, Link zum Preprint

### The Kato square root problem on vector bundles with generalised bounded geometry

#### Autoren: Lashi Bandara, Alan McIntosh (2016)

We consider smooth, complete Riemannian manifolds which are exponentially locally doubling. Under a uniform Ricci curvature bound and a uniform lower bound on injectivity radius, we prove a Kato square root estimate for certain coercive operators over the bundle of finite rank tensors. These results are obtained as a special case of similar estimates on smooth vector bundles satisfying a criterion which we call generalised bounded geometry. We prove this by establishing quadratic estimates for perturbations of Dirac type operators on such bundles under an appropriate set of assumptions.

Zeitschrift:
J. Geom. Anal.
Verlag:
Springer
Seiten:
428-462
Band:
26, no. 1

2016 | Rough metrics on manifolds and quadratic estimates | Lashi Bandara, Zeitschrift: Math. Z. Verlag: Springer Seiten: 1245-1281 Band: 283, no. 3-4 Link zur Publikation, Link zum Preprint

### Rough metrics on manifolds and quadratic estimates

#### Autoren: Lashi Bandara, (2016)

We study the persistence of quadratic estimates related to the Kato square root problem across a change of metric on smooth manifolds by defining a class of Riemannian-like metrics that are permitted to be of low regularity and degenerate on sets of measure zero. We also demonstrate how to transmit quadratic estimates between manifolds which are homeomorphic and locally bi-Lipschitz. As a consequence, we demonstrate the invariance of the Kato square root problem under Lipschitz transformations of the space and obtain solutions to this problem on functions and forms on compact manifolds with a continuous metric. Furthermore, we show that a lower bound on the injectivity radius is not a necessary condition to solve the Kato square root problem.

Zeitschrift:
Math. Z.
Verlag:
Springer
Seiten:
1245-1281
Band:
283, no. 3-4

2016 | Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics | Lashi Bandara, Hemanth Saratchandran Zeitschrift: accepted to J. Funct. Anal. Link zum Preprint

### Essential self-adjointness of powers of first-order differential operators on non-compact manifolds with low-regularity metrics

#### Autoren: Lashi Bandara, Hemanth Saratchandran (2016)

We consider first-order differential operators with locally bounded measurable coefficients on vector bundles with measurable coefficient metrics. Under a mild set of assumptions, we demonstrate the equivalence between the essential self-adjointness of such operators to a negligible boundary property. When the operator possesses higher regularity coefficients, we show that higher powers are essentially self-adjoint if and only if this condition is satisfied. In the case that the low-regularity Riemannian metric induces a complete length space, we demonstrate essential self-adjointness of the operator and its higher powers up to the regularity of its coefficients. We also present applications to Dirac operators on Dirac bundles when the metric is non-smooth.

Zeitschrift:
accepted to J. Funct. Anal.

2016 | The 2-D stochastic Keller-Segel particle model : existence and uniqueness | Patrick Cattiaux, Laure Pédèches Zeitschrift: ALEA, Lat. Am. J. Probab. Math. Stat. Seiten: 447-463 Band: 13 (1) Link zur Publikation

### The 2-D stochastic Keller-Segel particle model : existence and uniqueness

#### Autoren: Patrick Cattiaux, Laure Pédèches (2016)

Zeitschrift:
ALEA, Lat. Am. J. Probab. Math. Stat.
Seiten:
447-463
Band:
13 (1)

2016 | Convoluted Brownian motion | Sylvie Roelly, Pierre Vallois Zeitschrift: Theory of Stochastic Processes Reihe: 21 (37) no. 2 Seiten: 58–83 Link zur Publikation, Link zum Preprint

### Convoluted Brownian motion

#### Autoren: Sylvie Roelly, Pierre Vallois (2016)

Zeitschrift:
Theory of Stochastic Processes
Reihe:
21 (37) no. 2
Seiten:
58–83

2016 | Spektren verallgemeinerter Hodge-Laplace-Operatoren - Am Beispiel von flachen Tori und runden Sphären | Stine Franziska Beitz Reihe: BestMasters Verlag: Springer Link zur Publikation

### Spektren verallgemeinerter Hodge-Laplace-Operatoren - Am Beispiel von flachen Tori und runden Sphären

#### Autoren: Stine Franziska Beitz (2016)

Reihe:
BestMasters
Verlag:
Springer

2016 | On the Calibration of Lévy Driven Time Series with Coupling Distances and an Application in Paleoclimate | J. Gairing, M. Högele, T. Kosenkova, A. Kulik Verlag: Springer Buchtitel: Mathematical Paradigms of Climate Science Seiten: 115-135 Link zur Publikation

### On the Calibration of Lévy Driven Time Series with Coupling Distances and an Application in Paleoclimate

#### Autoren: J. Gairing, M. Högele, T. Kosenkova, A. Kulik (2016)

Verlag:
Springer
Buchtitel:
Seiten:
115-135

2016 | Note on short time behavior of semigroups associated to selfadjoint operators | Matthias Keller, Daniel Lenz, Florentin Münch, Marcel Schmidt, Andras Telcs Zeitschrift: Bullettin of the London Mathematical Society, to appear Link zum Preprint

### Note on short time behavior of semigroups associated to selfadjoint operators

#### Autoren: Matthias Keller, Daniel Lenz, Florentin Münch, Marcel Schmidt, Andras Telcs (2016)

We present a simple observation showing that the heat kernel on a locally finite graph behaves for short times $t$ roughly like $t^d$, where $d$ is the combinatorial distance. This is very different from the classical Varadhan type behavior on manifolds. Moreover, this also gives that short time behavior and global behavior of the heat kernel are governed by two different metrics whenever the degree of the graph is not uniformly bounded.

Zeitschrift:
Bullettin of the London Mathematical Society, to appear

2016 | Note on uniformly transient graphs | Matthias Keller, Daniel Lenz, Marcel Schmidt, Radosław K. Wojciechowski Zeitschrift: Revista Iberoamericana Seiten: 831–860 Band: 33 Link zur Publikation, Link zum Preprint

### Note on uniformly transient graphs

#### Autoren: Matthias Keller, Daniel Lenz, Marcel Schmidt, Radosław K. Wojciechowski (2016)

We study a special class of graphs with a strong transience feature called uniform transience. We characterize uniform transience via a Feller-type property and via validity of an isoperimetric inequality. We then give a further characterization via equality of the Royden boundary and the harmonic boundary and show that the Dirichlet problem has a unique solution for such graphs. The Markov semigroups and resolvents (with Dirichlet boundary conditions) on these graphs are shown to be ultracontractive. Moreover, if the underlying measure is finite, the semigroups and resolvents are trace class and their generators have $\ell^p$ independent pure point spectra (for $1 \leq p \leq \infty$). Examples of uniformly transient graphs include Cayley graphs of hyperbolic groups as well as trees and Euclidean lattices of dimension at least three. As a surprising consequence, the Royden compactification of such lattices turns out to be the one-point compacitifcation and the Laplacians of such lattices have pure point spectrum if the underlying measure is chosen to be finite.

Zeitschrift:
Revista Iberoamericana
Seiten:
831–860
Band:
33

2016 | General Cheeger inequalities for p-Laplacians on graphs | Matthias Keller, Delio Mugnolo Zeitschrift: Nonlinear Analysis: Theory, Methods & Applications Seiten: 80–95 Band: 147 Link zur Publikation, Link zum Preprint

### General Cheeger inequalities for p-Laplacians on graphs

#### Autoren: Matthias Keller, Delio Mugnolo (2016)

We prove Cheeger inequalities for p-Laplacians on finite and infinite weighted graphs. Unlike in previous works, we do not impose boundedness of the vertex degree, nor do we restrict ourselves to the normalized Laplacian and, more generally, we do not impose any boundedness assumption on the geometry. This is achieved by a novel definition of the measure of the boundary which is using the idea of intrinsic metrics. For the non-normalized case, our bounds on the spectral gap of p-Laplacians are already significantly better for finite graphs and for infinite graphs they yield non-trivial bounds even in the case of unbounded vertex degree. We, furthermore, give upper bounds by the Cheeger constant and by the exponential volume growth of distance balls.

Zeitschrift:
Nonlinear Analysis: Theory, Methods & Applications
Seiten:
80–95
Band:
147

2016 | Dynamical compact elastic bodies in general relativity | Lars Andersson, Todd A. Oliynyk, Bernd G. Schmidt Zeitschrift: Archive for Rational Mechanics and Analysis Verlag: Springer Seiten: 849-887 Band: 220, no. 2 Link zur Publikation, Link zum Preprint

### Dynamical compact elastic bodies in general relativity

#### Autoren: Lars Andersson, Todd A. Oliynyk, Bernd G. Schmidt (2016)

We prove the local existence of solutions to the Einstein-Elastic equations that represent self-gravitating, relativistic elastic bodies with compact support.

Zeitschrift:
Archive for Rational Mechanics and Analysis
Verlag:
Springer
Seiten:
849-887
Band:
220, no. 2

2016 | Decay of solutions to the Maxwell equation on the Schwarzschild background | Lars Andersson, Thomas Bäckdahl, Pieter Blue Zeitschrift: Class. Quantum Grav. Verlag: IOP Publishing Seiten: 085010 Band: 33, no. 8 Link zur Publikation, Link zum Preprint

### Decay of solutions to the Maxwell equation on the Schwarzschild background

#### Autoren: Lars Andersson, Thomas Bäckdahl, Pieter Blue (2016)

A new Morawetz or integrated local energy decay estimate for Maxwell test fields on the exterior of a Schwarzschild black hole spacetime is proved. The proof makes use of a new superenergy tensor $H_{ab}$ defined in terms of the Maxwell field and its first derivatives. The superenergy tensor, although not conserved, yields a conserved higher order energy current $H_{ab}(\partial_t)^ b$. The tensor $H_{ab}$ vanishes for the static Coulomb field, and the Morawetz estimate proved here therefore yields integrated decay for the Maxwell field to the Coulomb solution on the Schwarzschild exterior.

Zeitschrift:
Class. Quantum Grav.
Verlag:
IOP Publishing
Seiten:
085010
Band:
33, no. 8

2016 | Gauge-invariant perturbations of Schwarzschild spacetime | Abhay G. Shaw, Bernard F. Whiting, Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl Link zum Preprint

### Gauge-invariant perturbations of Schwarzschild spacetime

#### Autoren: Abhay G. Shaw, Bernard F. Whiting, Steffen Aksteiner, Lars Andersson, Thomas Bäckdahl (2016)

We study perturbations of Schwarzschild spacetime in a coordinate-free, covariant form. The GHP formulation, having the advantage of not only being covariant but also tetrad-rotation invariant, is used to write down the previously known odd- and even-parity gauge-invariants and the equations they satisfy. Additionally, in the even-parity sector, a new invariant and the second order hyperbolic equation it satisfies are presented. Chandrasekhar's work on transformations of solutions for perturbation equations on Schwarzschild spacetime is translated into the GHP form, i.e., solutions for the equations of the even- and odd-parity invariants are written in terms of one another, and the extreme Weyl scalars; and solutions for the equations of these latter invariants are also written in terms of one another. Recently, further gauge invariants previously used by Steven Detweiler have been described. His method is translated into GHP form and his basic invariants are presented here. We also show how these invariants can be written in terms of curvature invariants.

2016 | Criticising with Foucault: Towards a guiding framework for socio-political studies in mathematics education | David Kollosche Zeitschrift: Educational Studies in Mathematics Link zur Publikation

### Criticising with Foucault: Towards a guiding framework for socio-political studies in mathematics education

#### Autoren: David Kollosche (2016)

Zeitschrift:
Educational Studies in Mathematics

2016 | A socio-critical analysis of students’ perceptions of mathematics | David Kollosche Buchtitel: Straehler-Pohl, Bohlmann & Pais (Hg.) The disorder of mathematics education. Challenging the socio-political dimensions of research Link zur Publikation

### A socio-critical analysis of students’ perceptions of mathematics

#### Autoren: David Kollosche (2016)

Buchtitel:
Straehler-Pohl, Bohlmann & Pais (Hg.) The disorder of mathematics education. Challenging the socio-political dimensions of research

2016 | Social and Political Dimensions of Mathematics Education | Murad Jurdak, Renuka Vithal, Elizabeth de Freitas, Peter Gates & David Kollosche Verlag: Springer

### Social and Political Dimensions of Mathematics Education

#### Autoren: Murad Jurdak, Renuka Vithal, Elizabeth de Freitas, Peter Gates & David Kollosche (2016)

Verlag:
Springer

2016 | Heat Kernel Asymptotics, Path Integrals and Infinite-Dimensional Determinants | Matthias Ludewig Link zum Preprint

### Heat Kernel Asymptotics, Path Integrals and Infinite-Dimensional Determinants

#### Autoren: Matthias Ludewig (2016)

We investigate the short-time expansion of the heat kernel of a Laplace type operator on a compact Riemannian manifold and show that the lowest order term of this expansion is given by the Fredholm determinant of the Hessian of the energy functional on a space of finite energy paths. This is the asymptotic behavior to be expected from formally expressing the heat kernel as a path integral and then (again formally) using Laplace's method on the integral. We also relate this to the zeta determinant of the Jacobi operator, which is another way to assign a determinant to the Hessian of the energy functional. We consider both the near-diagonal asymptotics as well as the behavior at the cut locus.

2016 | Strong Short Time Asymptotics and Convolution Approximation of the Heat Kernel | Matthias Ludewig Link zum Preprint

### Strong Short Time Asymptotics and Convolution Approximation of the Heat Kernel

#### Autoren: Matthias Ludewig (2016)

We give a short proof of a strong version of the short time asymptotic expansion of heat kernels associated to Laplace type operators acting on sections of vector bundles over compact Riemannian manifolds, including exponential decay of the difference of the approximate heat kernel and the true heat kernel. We use this to show that repeated convolution of the approximate heat kernels can be used to approximate the heat kernel on all of $M$, which is related to expressing the heat kernel as a path integral. This scheme is then applied to obtain a short-time asymptotic expansion of the heat kernel at the cut locus.

2016 | A Feynman–Kac–Itô formula for magnetic Schrödinger operators on graphs | Batu Güneysu, Matthias Keller, Marcel Schmidt Zeitschrift: Probability Theory and Related Fields Seiten: 365-399 Band: 165 Link zur Publikation, Link zum Preprint

### A Feynman–Kac–Itô formula for magnetic Schrödinger operators on graphs

#### Autoren: Batu Güneysu, Matthias Keller, Marcel Schmidt (2016)

In this paper we prove a Feynman–Kac–Itô formula for magnetic Schrödinger operators on arbitrary weighted graphs. To do so, we have to provide a natural and general framework both on the operator theoretic and the probabilistic side of the equation. On the operator side we identify a very general class of potentials that allows the definition of magnetic Schrödinger operators. On the probabilistic side, we introduce an appropriate notion of stochastic line integrals with respect to magnetic potentials. Apart from linking the world of discrete magnetic operators with the probabilistic world through the Feynman–Kac–Itô formula, the insights from this paper gained on both sides should be of an independent interest. As applications of the Feynman–Kac–Itô formula, we prove a Kato inequality, a Golden–Thompson inequality and an explicit representation of the quadratic form domains corresponding to a large class of potentials.

Zeitschrift:
Probability Theory and Related Fields
Seiten:
365-399
Band:
165

2016 | An explicit representation of the transition densities of the skew Brownian motion with drift and two semipermeable barriers | David Dereudre, Sara Mazzonetto, Sylvie Roelly Zeitschrift: Monte Carlo Methods and Applications Vol. 22-1 (2016) Seiten: 1-23 Link zur Publikation, Link zum Preprint

### An explicit representation of the transition densities of the skew Brownian motion with drift and two semipermeable barriers

#### Autoren: David Dereudre, Sara Mazzonetto, Sylvie Roelly (2016)

Zeitschrift:
Monte Carlo Methods and Applications Vol. 22-1 (2016)
Seiten:
1-23

2016 | Noncommutative Geometry and the Physics of the LHC Era | Christoph Stephan Verlag: Birkhäuser Basel Buchtitel: F. Finster, J. Kleiner, C. Röken, J. Tolksdorf (eds.): Quantum mathematical physics Seiten: 471-495 Link zur Publikation

### Noncommutative Geometry and the Physics of the LHC Era

#### Autoren: Christoph Stephan (2016)

Noncommutative geometry allows to unify the basic building blocks of particle physics, Yang-Mills-Higgs theory and general relativity, into a single geometrical framework. The resulting effective theory constrains the couplings of the standard model and reduces the number of degrees of freedom. After an introduction of the basic ideas of Noncommutative geometry, I will present its predictions for the standard model and the few known models beyond the standard model based on a classification scheme for finite spectral triples. Most of these models, including the Standard Model, are now ruled out by LHC data. But interesting extensions of the standard model which agree with the presumed Higgs mass, predict new particles (Fermions, Scalars and Bosons) and await further experimental data.

Verlag:
Birkhäuser Basel
Buchtitel:
F. Finster, J. Kleiner, C. Röken, J. Tolksdorf (eds.): Quantum mathematical physics
Seiten:
471-495

2016 | Optimal space of linear classical observables for Maxwell k-forms via spacelike and timelike compact de Rham cohomologies | Marco Benini Zeitschrift: J. Math. Phys. Verlag: American Institute of Physics Seiten: 053502 Band: 57 Link zur Publikation, Link zum Preprint

### Optimal space of linear classical observables for Maxwell k-forms via spacelike and timelike compact de Rham cohomologies

#### Autoren: Marco Benini (2016)

Being motivated by open questions in gauge field theories, we consider non-standard de Rham cohomology groups for timelike compact and spacelike compact support systems. These cohomology groups are shown to be isomorphic respectively to the usual de Rham cohomology of a spacelike Cauchy surface and its counterpart with compact support. Furthermore, an analog of the usual Poincaré duality for de Rham cohomology is shown to hold for the case with non-standard supports as well. We apply these results to find optimal spaces of linear observables for analogs of arbitrary degree k of both the vector potential and the Faraday tensor. The term optimal has to be intended in the following sense: The spaces of linear observables we consider distinguish between different configurations; in addition to that, there are no redundant observables. This last point in particular heavily relies on the analog of Poincaré duality for the new cohomology groups.

Zeitschrift:
J. Math. Phys.
Verlag:
American Institute of Physics
Seiten:
053502
Band:
57

2016 | The mode solution of the wave equation in Kasner spacetimes and redshift | Oliver Lindblad Petersen Zeitschrift: Math. Phys. Anal. Geom. Verlag: Springer Seiten: Art.: 26 Band: 19, no. 4 Link zur Publikation, Link zum Preprint

### The mode solution of the wave equation in Kasner spacetimes and redshift

#### Autoren: Oliver Lindblad Petersen (2016)

We study the mode solution to the Cauchy problem of the scalar wave equation ◻φ = 0 in Kasner spacetimes. As a first result, we give the explicit mode solution in axisymmetric Kasner spacetimes, of which flat Kasner spacetimes are special cases. Furthermore, we give the small and large time asymptotics of the modes in general Kasner spacetimes. Generically, the modes in non-flat Kasner spacetimes grow logarithmically for small times, while the modes in flat Kasner spacetimes stay bounded for small times. For large times, however, the modes in general Kasner spacetimes oscillate with a polynomially decreasing amplitude. This gives a notion of large time frequency of the modes, which we use to model the wavelength of light rays in Kasner spacetimes. We show that the redshift one obtains in this way actually coincides with the usual cosmological redshift.

Zeitschrift:
Math. Phys. Anal. Geom.
Verlag:
Springer
Seiten:
Art.: 26
Band:
19, no. 4

2016 | A rigorous geometric derivation of the chiral anomaly in curved backgrounds | Christian Bär, Alexander Strohmaier Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 703-721 Band: 347, no. 3 Link zur Publikation, Link zum Preprint

### A rigorous geometric derivation of the chiral anomaly in curved backgrounds

#### Autoren: Christian Bär, Alexander Strohmaier (2016)

We discuss the chiral anomaly for a Weyl field in a curved background and show that a novel index theorem for the Lorentzian Dirac operator can be applied to describe the gravitational chiral anomaly. A formula for the total charge generated by the gravitational and gauge field background is derived in a mathematically rigorous manner. It contains a term identical to the integrand in the Atiyah-Singer index theorem and another term involving the η-invariant of the Cauchy hypersurfaces.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
703-721
Band:
347, no. 3

2016 | Long time behavior of stochastic hard ball systems | P. Cattiaux, M. Fradon, A. Kulik, S. Roelly Zeitschrift: Bernoulli 22-2 (2016) Seiten: 681-710 Link zur Publikation, Link zum Preprint

### Long time behavior of stochastic hard ball systems

#### Autoren: P. Cattiaux, M. Fradon, A. Kulik, S. Roelly (2016)

Zeitschrift:
Bernoulli 22-2 (2016)
Seiten:
681-710

2016 | Supergeometry in locally covariant quantum field theory | Thomas Paul Hack, Florian Hanisch, Alexander Schenkel Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 615-673 Band: 342, no. 2 Link zur Publikation, Link zum Preprint

### Supergeometry in locally covariant quantum field theory

#### Autoren: Thomas Paul Hack, Florian Hanisch, Alexander Schenkel (2016)

In this paper we analyze supergeometric locally covariant quantum field theories. We develop suitable categories SLoc of super-Cartan supermanifolds, which generalize Lorentz manifolds in ordinary quantum field theory, and show that, starting from a few representation theoretic and geometric data, one can construct a functor A : SLoc→S*Alg to the category of super-*-algebras which can be interpreted as a non-interacting super-quantum field theory. This construction turns out to disregard supersymmetry transformations as the morphism sets in the above categories are too small. We then solve this problem by using techniques from enriched category theory, which allows us to replace the morphism sets by suitable morphism supersets that contain supersymmetry transformations as their higher superpoints. We construct super-quantum field theories in terms of enriched functors eA : eSLoc→eS*Alg between the enriched categories and show that supersymmetry transformations are appropriately described within the enriched framework. As examples we analyze the superparticle in 1|1-dimensions and the free Wess-Zumino model in 3|2-dimensions.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
615-673
Band:
342, no. 2

2016 | Cheeger-Chern-Simons theory and differential String classes | Christian Becker Zeitschrift: Ann. Henri Poincaré Verlag: Springer Seiten: 1-66 Link zur Publikation, Link zum Preprint

### Cheeger-Chern-Simons theory and differential String classes

#### Autoren: Christian Becker (2016)

We introduce certain relative differential characters which we call Cheeger-Chern-Simons characters. These combine the well-known Cheeger-Simons characters with Chern-Simons forms. In the same way as the Cheeger-Simons characters generalize Chern-Simons invariants of oriented closed manifolds, the Cheeger-Chern-Simons characters generalize Chern-Simons invariants of oriented manifolds with boundary.
Using Cheeger-Chern-Simons characters, we introduce the notion of differential trivializations of universal characteristic classes. Specializing to the class ½ p1 ∈ H4(BSpinn, Z) this yields a notion of differential String classes. Differential String classes turn out to be stable isomorphism classes of geometric String structures.

Zeitschrift:
Ann. Henri Poincaré
Verlag:
Springer
Seiten:
1-66

2016 | About the mass of certain second order elliptic operators | Andreas Hermann, Emmanuel Humbert Zeitschrift: Adv. Math. Verlag: Elsevier Seiten: 596-633 Band: 294 Link zur Publikation, Link zum Preprint

### About the mass of certain second order elliptic operators

#### Autoren: Andreas Hermann, Emmanuel Humbert (2016)

Let (M,g) be a closed Riemannian manifold of dimension n ≥ 3 and let f ∈ C(M), such that the operator Pf := Δg + f is positive. If g is flat near some point p and f vanishes around p, we can define the mass of Pf as the constant term in the expansion of the Green function of Pf at p. In this paper, we establish many results on the mass of such operators. In particular, if f = \frac{n-2}{4(n-1)}\scal_g, i.e. if Pf is the Yamabe operator, we show the following result: assume that there exists a closed simply connected non-spin manifold M such that the mass is non-negative for every metric g as above on M, then the mass is non-negative for every such metric on every closed manifold of the same dimension as M.

Zeitschrift:
Verlag:
Elsevier
Seiten:
596-633
Band:
294

2016 | Guide to Boundary Value Problems for Dirac-Type Operators | Werner Ballmann, Christian Bär Reihe: Progress in Mathematics Verlag: Springer-Verlag Buchtitel: Arbeitstagung Bonn 2013 Seiten: 43-80 Band: 319 Link zur Publikation, Link zum Preprint

### Guide to Boundary Value Problems for Dirac-Type Operators

#### Autoren: Werner Ballmann, Christian Bär (2016)

We present an introduction to boundary value problems for Dirac-type operators on complete Riemannian manifolds with compact boundary. We introduce a very general class of boundary conditions which contains local elliptic boundary conditions in the sense of Lopatinskij and Shapiro as well as the Atiyah-Patodi-Singer boundary conditions. We discuss boundary regularity of solutions and also spectral and index theory. The emphasis is on providing the reader with a working knowledge.

Reihe:
Progress in Mathematics
Verlag:
Springer-Verlag
Buchtitel:
Arbeitstagung Bonn 2013
Seiten:
43-80
Band:
319

2015 | Estimates for eigensections of Riemannian vector bundles | Saskia Roos Link zum Preprint

### Estimates for eigensections of Riemannian vector bundles

We derive a bound on the L-norm of the covariant derivative of Laplace eigensections on general Riemannian vector bundles depending on the diameter, the dimension, the Ricci curvature of the underlying manifold, and the curvature of the Riemannian vector bundle. Our result implies that eigensections with small eigenvalues are almost parallel.

2015 | Target driven pharmacokinetics of biopharmaceutics | W. Huisinga, S. Fuhrmann, L. Fronton, B.F. Krippendorff Verlag: Wiley Buchtitel: 'Therapeutic Proteins – ADME and translational PK/PD in discovery and development', H. Zhou and F.-P. Theil (Eds.), ISBN 978-1-118-89864-2 Link zur Publikation

### Target driven pharmacokinetics of biopharmaceutics

#### Autoren: W. Huisinga, S. Fuhrmann, L. Fronton, B.F. Krippendorff (2015)

Verlag:
Wiley
Buchtitel:
'Therapeutic Proteins – ADME and translational PK/PD in discovery and development', H. Zhou and F.-P. Theil (Eds.), ISBN 978-1-118-89864-2

2015 | Gröbner-Shirshov bases and embedding of a semigroup in a group | Karpuz, E.G., Cevik, A.S., Firat, A. and Koppitz, J. Zeitschrift: Adv. Stud. Contemp. Math. (Kyugshang) Band: 25 n0. 4

### Gröbner-Shirshov bases and embedding of a semigroup in a group

#### Autoren: Karpuz, E.G., Cevik, A.S., Firat, A. and Koppitz, J. (2015)

Zeitschrift:
Band:
25 n0. 4

2015 | Separation of On from its proper subsemigroups by a single identity | Koppitz, J. Zeitschrift: Semigroup Forum Band: 91, No. 1

### Separation of On from its proper subsemigroups by a single identity

#### Autoren: Koppitz, J. (2015)

Zeitschrift:
Semigroup Forum
Band:
91, No. 1

2015 | A Note on finite generated subsemigroups of T(X,Y), | Lekkoksung, N. and Koppitz, J. Zeitschrift: Math. Appl Band: 4

### A Note on finite generated subsemigroups of T(X,Y),

#### Autoren: Lekkoksung, N. and Koppitz, J. (2015)

Zeitschrift:
Math. Appl
Band:
4

2015 | The merger of small and large black holes | P. Mösta; L. Andersson; J. Metzger; B. Szilágyi; J. Winicour Zeitschrift: Classical Quantum Gravity Seiten: 235003, 20 pp. Band: 32

### The merger of small and large black holes

#### Autoren: P. Mösta; L. Andersson; J. Metzger; B. Szilágyi; J. Winicour (2015)

We present simulations of binary black-hole mergers in which, after the common outer horizon has formed, the marginally outer trapped surfaces (MOTSs) corresponding to the individual black holes continue to approach and eventually penetrate each other. This has very interesting consequences according to recent results in the theory of MOTSs. Uniqueness and stability theorems imply that two MOTSs which touch with a common outer normal must be identical. This suggests a possible dramatic consequence of the collision between a small and large black hole. If the penetration were to continue to completion, then the two MOTSs would have to coalesce, by some combination of the small one growing and the big one shrinking. Here we explore the relationship between theory and numerical simulations, in which a small black hole has halfway penetrated a large one.

Zeitschrift:
Classical Quantum Gravity
Seiten:
235003, 20 pp.
Band:
32

2015 | Null mean curvature flow and outermost MOTS | Theodora Bourni, Kristen Moore Link zum Preprint

### Null mean curvature flow and outermost MOTS

#### Autoren: Theodora Bourni, Kristen Moore (2015)

We study the evolution of hypersurfaces in spacetime initial data sets by their null mean curvature. A theory of weak solutions is developed using the level-set approach. Starting from an arbitrary mean convex, outer untapped hypersurface $\partial\Omega_0$, we show that there exists a weak solution to the null mean curvature flow, given as a limit of approximate solutions that are defined using the $\varepsilon$-regularization method. We show that the approximate solutions blow up on the outermost MOTS and the weak solution converges (as boundaries of finite perimeter sets) to a generalized MOTS.

2015 | Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules | Sara Azzali, Cyril Levy, Carolina Neira and Sylvie Paycha Reihe: Geometric Methods in Physics, Trends in Mathematics Verlag: Birkäuser Buchtitel: Geometric Methods in Physics Seiten: 3-38 Link zur Publikation, Link zum Preprint

### Traces of holomorphic families of operators on the noncommutative torus and on Hilbert modules

#### Autoren: Sara Azzali, Cyril Levy, Carolina Neira and Sylvie Paycha (2015)

We revisit traces of holomorphic families of pseudodifferential operators on a closed manifold in view of geometric applications. We then transpose the corresponding analytic constructions to two different geometric frameworks; the noncommutative torus and Hilbert modules. These traces are meromorphic functions whose residues at the poles as well as the constant term of the Laurent expansion at zero (the latter when the family at zero is a differential operator) can be expressed in terms of Wodzicki residues and extended Wodzicki residues involving logarithmic operators. They are therefore local and contain geometric information. For holomorphic families leading to zeta regularised traces, they relate to the heat-kernel asymptotic coefficients via an inverse Mellin mapping theorem. We revisit Atiyah's L^2-index theorem by means of the (extended) Wodzicki residue and interpret the scalar curvature on the noncommutative two torus as an (extended) Wodzicki residue.

Reihe:
Geometric Methods in Physics, Trends in Mathematics
Verlag:
Birkäuser
Buchtitel:
Geometric Methods in Physics
Seiten:
3-38

2015 | Large time limit and local L^2-index theorems for families | Sara Azzali, Sebastian Goette, Thomas Schick Zeitschrift: J. Noncommut. Geom. Verlag: EMS Seiten: 621–664 Band: 9, Issue 2 Link zur Publikation, Link zum Preprint

### Large time limit and local L^2-index theorems for families

#### Autoren: Sara Azzali, Sebastian Goette, Thomas Schick (2015)

We compute explicitly, and without any extra regularity assumptions, the large time limit of the fibrewise heat operator for Bismut-Lott type superconnections in the $L^2$-setting. This is motivated by index theory on certain non-compact spaces (families of manifolds with cocompact group action) where the convergence of the heat operator at large time implies refined $L^2$-index formulas. As applications, we prove a local $L^2$-index theorem for families of signature operators and an $L^2$-Bismut-Lott theorem, expressing the Becker-Gottlieb transfer of flat bundles in terms of Kamber-Tandeur classes. With slightly stronger regularity we obtain the respective refined versions: we construct $L^2$-eta forms and $L^2$-torsion forms as transgression forms.

Zeitschrift:
J. Noncommut. Geom.
Verlag:
EMS
Seiten:
621–664
Band:
9, Issue 2

2015 | Self-adjointness of the Gaffney Laplacian on vector bundles | Lashi Bandara, Ognjen Milatovic Zeitschrift: Math. Phys. Anal. Geom. Verlag: Springer Seiten: 14 pp. Band: 18, no. 1, Art. 17 Link zur Publikation, Link zum Preprint

### Self-adjointness of the Gaffney Laplacian on vector bundles

#### Autoren: Lashi Bandara, Ognjen Milatovic (2015)

We study the Gaffney Laplacian on a vector bundle equipped with a compatible metric and connection over a Riemannian manifold that is possibly geodesically incomplete. Under the hypothesis that the Cauchy boundary is polar, we demonstrate the self-adjointness of this Laplacian. Furthermore, we show that negligible boundary is a necessary and sufficient condition for the self-adjointness of this operator.

Zeitschrift:
Math. Phys. Anal. Geom.
Verlag:
Springer
Seiten:
14 pp.
Band:
18, no. 1, Art. 17

2015 | Hidden symmetries and decay for the wave equation on the Kerr spacetime | Lars Andersson, Pieter Blue Zeitschrift: Annals of Mathematics Verlag: Princeton University Seiten: 787-853 Band: 182, no. 3 Link zur Publikation, Link zum Preprint

### Hidden symmetries and decay for the wave equation on the Kerr spacetime

#### Autoren: Lars Andersson, Pieter Blue (2015)

Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalisation of the vector-field method that allows the use of higher-order symmetry operators. In particular, our method makes use of the second-order Carter operator, which is a hidden symmetry in the sense that it does not correspond to a Killing symmetry of the spacetime.

Zeitschrift:
Annals of Mathematics
Verlag:
Princeton University
Seiten:
787-853
Band:
182, no. 3

2015 | Fast L_2-approximation of integral-type functionals of Markov processes | Iu. Ganychenko Zeitschrift: Modern Stochastics: Theory and Applications Reihe: 2 Seiten: 165-171 Band: 2 Link zur Publikation

### Fast L_2-approximation of integral-type functionals of Markov processes

#### Autoren: Iu. Ganychenko (2015)

Zeitschrift:
Modern Stochastics: Theory and Applications
Reihe:
2
Seiten:
165-171
Band:
2

2015 | Weak approximation rates for integral functionals of Markov processes | Iu. Ganychenko, A. Kulik Zeitschrift: Modern Stochastics: Theory and Applications Reihe: 3 Seiten: 251-266 Band: 2 Link zur Publikation

### Weak approximation rates for integral functionals of Markov processes

#### Autoren: Iu. Ganychenko, A. Kulik (2015)

Zeitschrift:
Modern Stochastics: Theory and Applications
Reihe:
3
Seiten:
251-266
Band:
2

2015 | Accuracy of discrete approximation for integral functionals of Markov processes | Iu. Ganychenko, V. Knopova, A. Kulik Zeitschrift: Modern Stochastics: Theory and Applications Reihe: 4 Seiten: 401-420 Band: 2 Link zur Publikation

### Accuracy of discrete approximation for integral functionals of Markov processes

#### Autoren: Iu. Ganychenko, V. Knopova, A. Kulik (2015)

Zeitschrift:
Modern Stochastics: Theory and Applications
Reihe:
4
Seiten:
401-420
Band:
2

2015 | Geometry and spectrum of rapidly branching graphs | Matthias Keller, Felix Pogorzelski, Florentin Münch Zeitschrift: Mathematische Nachrichten Seiten: 1636–1647 Band: 289 Link zur Publikation, Link zum Preprint

### Geometry and spectrum of rapidly branching graphs

#### Autoren: Matthias Keller, Felix Pogorzelski, Florentin Münch (2015)

We study graphs whose vertex degree tends and which are, therefore, called rapidly branching. We prove spectral estimates, discreteness of spectrum, first order eigenvalue and Weyl asymptotics solely in terms of the vertex degree growth. The underlying techniques are estimates on the isoperimetric constant. Furthermore, we give lower volume growth bounds and we provide a new criterion for stochastic incompleteness.

Zeitschrift:
Mathematische Nachrichten
Seiten:
1636–1647
Band:
289

2015 | Self-gravitating elastic bodies | Lars Andersson Reihe: Fundamental Theories of Physics Verlag: Springer Buchtitel: D. Puetzfeld, C. Lämmerzahl, B. Schutz (eds.): Equations of Motion in Relativistic Gravity Seiten: 543-559 Band: Volume 179 Link zur Publikation, Link zum Preprint

### Self-gravitating elastic bodies

Extended objects in GR are often modelled using distributional solutions of the Einstein equations with point-like sources, or as the limit of infinitesimally small "test" objects. In this note, I will consider models of finite self-gravitating extended objects, which make it possible to give a rigorous treatment of the initial value problem for (finite) extended objects.

Reihe:
Fundamental Theories of Physics
Verlag:
Springer
Buchtitel:
D. Puetzfeld, C. Lämmerzahl, B. Schutz (eds.): Equations of Motion in Relativistic Gravity
Seiten:
543-559
Band:
Volume 179

2015 | Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior | Lars Andersson, Pieter Blue Zeitschrift: J. Hyperbolic Differ. Equ. Verlag: World Scientific Seiten: 689-743 Band: 12, no. 4 Link zur Publikation, Link zum Preprint

### Uniform energy bound and asymptotics for the Maxwell field on a slowly rotating Kerr black hole exterior

#### Autoren: Lars Andersson, Pieter Blue (2015)

We consider the Maxwell equation in the exterior of a very slowly rotating Kerr black hole. For this system, we prove the boundedness of a positive definite energy on each hypersurface of constant $t$. We also prove the convergence of each solution to a stationary Coulomb solution. We separate a general solution into the charged, Coulomb part and the uncharged part. Convergence to the Coulomb solutions follows from the fact that the uncharged part satisfies a Morawetz estimate, i.e. that a spatially localised energy density is integrable in time. For the unchanged part, we study both the full Maxwell equation and the Fackerell-Ipser equation for one component. To treat the Fackerell-Ipser equation, we use a Fourier transform in $t$. For the Fackerell-Ipser equation, we prove a refined Morawetz estimate that controls 3/2 derivatives with no loss near the orbiting null geodesics.

Zeitschrift:
J. Hyperbolic Differ. Equ.
Verlag:
World Scientific
Seiten:
689-743
Band:
12, no. 4

2015 | The Merger of Small and Large Black Holes | P. Mösta, L. Andersson, J. Metzger, B. Szilágyi, J. Winicour Zeitschrift: Class. Quantum Grav. Verlag: IOP Publishing Seiten: 235003 Band: 32, no. 23 Link zur Publikation, Link zum Preprint

### The Merger of Small and Large Black Holes

#### Autoren: P. Mösta, L. Andersson, J. Metzger, B. Szilágyi, J. Winicour (2015)

We present simulations of binary black holes mergers in which, after the common outer horizon has formed, the marginally outer trapped surfaces (MOTSs) corresponding to the individual black holes continue to approach and eventually penetrate each other. This has very interesting consequences according to recent results in the theory of MOTSs. Uniqueness and stability theorems imply that two MOTSs which touch with a common outer normal must be identical. This suggests a possible dramatic consequence of the collision between a small and large black hole. If the penetration were to continue to completion then the two MOTSs would have to coalesce, by some combination of the small one growing and the big one shrinking. Here we explore the relationship between theory and numerical simulations, in which a small black hole has halfway penetrated a large one.

Zeitschrift:
Class. Quantum Grav.
Verlag:
IOP Publishing
Seiten:
235003
Band:
32, no. 23

2015 | Spin geometry and conservation laws in the Kerr spacetime | Lars Andersson, Thomas Bäckdahl, Pieter Blue Reihe: Surveys in Differential Geometry Verlag: International Press of Boston Buchtitel: L. Bieri, S.-T. Yau (eds.): One hundred years of general relativity Seiten: 183-226 Band: Volume 20 Link zur Publikation, Link zum Preprint

### Spin geometry and conservation laws in the Kerr spacetime

#### Autoren: Lars Andersson, Thomas Bäckdahl, Pieter Blue (2015)

In this paper we will review some facts, both classical and recent, concerning the geometry and analysis of the Kerr and related black hole spacetimes. This includes the analysis of test fields on these spacetimes. Central to our analysis is the existence of a valence $(2,0)$ Killing spinor, which we use to construct symmetry operators and conserved currents as well as a new energy momentum tensor for the Maxwell test fields on a class of spacetimes containing the Kerr spacetime. We then outline how this new energy momentum tensor can be used to obtain decay estimated for Maxwell test fields. An important motivation for this work is the black hole stability problem, where fields with non-zero spin present interesting new challenges. The main tool in the analysis is the 2-spinor calculus, and for completeness we introduce its main features.

Reihe:
Surveys in Differential Geometry
Verlag:
International Press of Boston
Buchtitel:
L. Bieri, S.-T. Yau (eds.): One hundred years of general relativity
Seiten:
183-226
Band:
Volume 20

2015 | Is there proof that backreaction of inhomogeneities is irrelevant in cosmology? | T. Buchert, M. Carfora, G.F.R. Ellis, E.W. Kolb, M.A.H. MacCallum, J.J. Ostrowski, S. Räsänen, B.F. Roukema, L. Andersson, A.A. Coley, D.L. Wiltshire Zeitschrift: Class. Quantum Grav. Verlag: IOP Publishing Seiten: 215021 Band: 32, no. 21 Link zur Publikation, Link zum Preprint

### Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?

#### Autoren: T. Buchert, M. Carfora, G.F.R. Ellis, E.W. Kolb, M.A.H. MacCallum, J.J. Ostrowski, S. Räsänen, B.F. Roukema, L. Andersson, A.A. Coley, D.L. Wiltshire (2015)

No. In a number of papers Green and Wald argue that the standard FLRW model approximates our Universe extremely well on all scales, except close to strong field astrophysical objects. In particular, they argue that the effect of inhomogeneities on average properties of the Universe (backreaction) is irrelevant. We show that this latter claim is not valid. Specifically, we demonstrate, referring to their recent review paper, that (i) their two-dimensional example used to illustrate the fitting problem differs from the actual problem in important respects, and it assumes what is to be proven; (ii) the proof of the trace-free property of backreaction is unphysical and the theorem about it fails to be a mathematically general statement; (iii) the scheme that underlies the trace-free theorem does not involve averaging and therefore does not capture crucial non-local effects; (iv) their arguments are to a large extent coordinate-dependent, and (v) many of their criticisms of backreaction frameworks do not apply to the published definitions of these frameworks. It is therefore incorrect to infer that Green and Wald have proven a general result that addresses the essential physical questions of backreaction in cosmology.

Zeitschrift:
Class. Quantum Grav.
Verlag:
IOP Publishing
Seiten:
215021
Band:
32, no. 21

2015 | School mathematics and bureaucracy | David Kollosche Buchtitel: Krainer & Vondrová (Hg.) Proceedings of the 9th Congress of the European Society for Research in Mathematics Education

### School mathematics and bureaucracy

#### Autoren: David Kollosche (2015)

Buchtitel:
Krainer & Vondrová (Hg.) Proceedings of the 9th Congress of the European Society for Research in Mathematics Education

2015 | Mathematics education as a disciplinary institution | David Kollosche Buchtitel: Mukhopadhyay & Greer (Hg.) Proceedings of the Eighth International Mathematics Education and Society Conference

### Mathematics education as a disciplinary institution

#### Autoren: David Kollosche (2015)

Buchtitel:
Mukhopadhyay & Greer (Hg.) Proceedings of the Eighth International Mathematics Education and Society Conference

2015 | Mathematik und Bildung aus kritischer Sicht | David Kollosche Zeitschrift: mathematica didactica Link zur Publikation

### Mathematik und Bildung aus kritischer Sicht

#### Autoren: David Kollosche (2015)

Zeitschrift:
mathematica didactica

2015 | Instability of Pre-Existing Resonances Under a Small Constant Electric Field | Ira Herbst, Juliane Rama Zeitschrift: Annales Henri Poincare Verlag: Springer Basel Seiten: 2783 - 2835 Band: 16 Link zur Publikation

### Instability of Pre-Existing Resonances Under a Small Constant Electric Field

#### Autoren: Ira Herbst, Juliane Rama (2015)

Two simple model operators are considered which have pre-existing resonances. A potential corresponding to a small  electric field, f, is then introduced and the resonances of the resulting operator are considered as.

It is shown that these resonances are not continuous in this limit. It is conjectured that a similar behavior will appear in more complicated models of atoms and molecules. Numerical results are presented.

Zeitschrift:
Annales Henri Poincare
Verlag:
Springer Basel
Seiten:
2783 - 2835
Band:
16

2015 | Eigenvalue asymptotics for Schrödinger operators on sparse graphs | Michel Bonnefont, Sylvain Golénia, Matthias Keller Zeitschrift: Annales de l'Institut Fourier Seiten: 1969-1998 Band: 65 Link zur Publikation, Link zum Preprint

### Eigenvalue asymptotics for Schrödinger operators on sparse graphs

#### Autoren: Michel Bonnefont, Sylvain Golénia, Matthias Keller (2015)

We consider Schrödinger operators on sparse graphs. The geometric definition of sparseness turn out to be equivalent to a functional inequality for the Laplacian. In consequence, sparseness has in turn strong spectral and functional analytic consequences. Specifically, one consequence is that it allows to completely describe the form domain. Moreover, as another consequence it leads to a characterization for discreteness of the spectrum. In this case we determine the first order of the corresponding eigenvalue asymptotics.

Zeitschrift:
Annales de l'Institut Fourier
Seiten:
1969-1998
Band:
65

2015 | Diffussion determines the recurrent graph | Matthias Keller, Daniel Lenz, Marcel Schmidt, Melchior Wirth Zeitschrift: Advances in Mathematics Seiten: 364–398 Band: 269 Link zur Publikation, Link zum Preprint

### Diffussion determines the recurrent graph

#### Autoren: Matthias Keller, Daniel Lenz, Marcel Schmidt, Melchior Wirth (2015)

We consider diffusion on discrete measure spaces as encoded by Markovian semigroups arising from weighted graphs. We study whether the graph is uniquely determined if the diffusion is given up to order isomorphism. If the graph is recurrent then the complete graph structure and the measure space are determined (up to an overall scaling). As shown by counterexamples this result is optimal. Without the recurrence assumption, the graph still turns out to be determined in the case of normalized diffusion on graphs with standard weights and in the case of arbitrary graphs over spaces in which each point has the same mass. These investigations provide discrete counterparts to studies of diffusion on Euclidean domains and manifolds initiated by Arendt and continued by Arendt/Biegert/ter Elst and Arendt/ter Elst. A crucial step in our considerations shows that order isomorphisms are actually unitary maps (up to a scaling) in our context.

Zeitschrift:
Seiten:
364–398
Band:
269

2015 | Graphs of finite measure | Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radosław Wojciechowski Zeitschrift: Journal de Mathématiques Pures et Appliquées Seiten: 1093–1131 Band: 103 Link zur Publikation, Link zum Preprint

### Graphs of finite measure

#### Autoren: Agelos Georgakopoulos, Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radosław Wojciechowski (2015)

We consider weighted graphs with an infinite set of vertices. We show that boundedness of all functions of finite energy can be seen as a notion of ‘relative compactness’ for such graphs and study sufficient and necessary conditions for this property in terms of various metrics. We then equip graphs satisfying this property with a finite measure and investigate the associated Laplacian and its semigroup. In this context, our results include the trace class property for the semigroup, uniqueness and existence of solutions to the Dirichlet Problem with boundary arising from the natural compactification, an explicit description of the domain of the Dirichlet Laplacian, convergence of the heat semigroup for large times as well as stochastic incompleteness and transience of the corresponding random walk in continuous time.

Zeitschrift:
Journal de Mathématiques Pures et Appliquées
Seiten:
1093–1131
Band:
103

2015 | Intrinsic Metrics on Graphs: A Survey | Matthias Keller Reihe: Springer Proceedings in Mathematics & Statistics Verlag: Springer Buchtitel: Mathematical Technology of Networks Seiten: 81-119 Band: 128

### Intrinsic Metrics on Graphs: A Survey

#### Autoren: Matthias Keller (2015)

A few years ago various disparities for Laplacians on graphs and manifolds were discovered. The corresponding results are mostly related to volume growth in the context of unbounded geometry. Indeed, these disparities can now be resolved by using so called intrinsic metrics instead of the combinatorial graph distance. In this article we give an introduction to this topic and survey recent results in this direction. Specifically, we cover topics such as Liouville type theorems for harmonic functions, essential selfadjointness, stochastic completeness and upper escape rates. Furthermore, we determine the spectrum as a set via solutions, discuss upper and lower spectral bounds by isoperimetric constants and volume growth and study p-independence of spectra under a volume growth assumption.

Reihe:
Springer Proceedings in Mathematics & Statistics
Verlag:
Springer
Buchtitel:
Mathematical Technology of Networks
Seiten:
81-119
Band:
128

2015 | An invitation to trees of finite cone type: random and deterministic operators | Matthias Keller, Daniel Lenz, Simone Warzel Zeitschrift: Markov Processes and Related Filelds Seiten: 557-574 Band: 21 Link zur Publikation, Link zum Preprint

### An invitation to trees of finite cone type: random and deterministic operators

#### Autoren: Matthias Keller, Daniel Lenz, Simone Warzel (2015)

Trees of finite cone type have appeared in various contexts. In particular, they come up as simplified models of regular tessellations of the hyperbolic plane. The spectral theory of the associated Laplacians can thus be seen as induced by geometry. Here we give an introduction focusing on background and then turn to recent results for (random) perturbations of trees of finite cone type and their spectral theory.

Zeitschrift:
Markov Processes and Related Filelds
Seiten:
557-574
Band:
21

2015 | Note on basic features of large time behaviour of heat kernels | Matthias Keller, Daniel Lenz, Hendrik Vogt, Radoslaw Wojciechowski Zeitschrift: Journal für die reine und angewandte Mathematik (Crelle's Journal) Seiten: 73–95 Band: 2015 Link zur Publikation, Link zum Preprint

### Note on basic features of large time behaviour of heat kernels

#### Autoren: Matthias Keller, Daniel Lenz, Hendrik Vogt, Radoslaw Wojciechowski (2015)

Large time behaviour of heat semigroups (and, more generally, of positive selfadjoint semigroups) is studied. Convergence of the semigroup to the ground state and of averaged logarithms of kernels to the ground state energy is shown in the general framework of positivity improving selfadjoint semigroups. This framework encompasses all irreducible semigroups coming from Dirichlet forms as well as suitable perturbations thereof. It includes, in particular, Laplacians on connected manifolds, metric graphs and discrete graphs.

Zeitschrift:
Journal für die reine und angewandte Mathematik (Crelle's Journal)
Seiten:
73–95
Band:
2015

2015 | Cheeger inequalities for unbounded graph Laplacians | Frank Bauer, Matthias Keller, Radoslaw Wojciechowski Zeitschrift: Journal of the European Mathematical Society Seiten: 259–271 Band: 17 Link zur Publikation, Link zum Preprint

### Cheeger inequalities for unbounded graph Laplacians

#### Autoren: Frank Bauer, Matthias Keller, Radoslaw Wojciechowski (2015)

We use the concept of intrinsic metrics to give a new definition for an isoperimetric constant of a graph. We use this novel isoperimetric constant to prove a Cheeger-type estimate for the bottom of the spectrum which is nontrivial even if the vertex degrees are unbounded.

Zeitschrift:
Journal of the European Mathematical Society
Seiten:
259–271
Band:
17

2015 | Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators | Markus Klein, Elke Rosenberger Zeitschrift: Asymptotic Analysis Verlag: IOS Press Seiten: 61-89 Band: 97 Link zur Publikation

### Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators

#### Autoren: Markus Klein, Elke Rosenberger (2015)

We analyze a general class of difference operators on ), where is a multi-well
potential and is a small parameter. We  construct approximate eigenfunctions in
neighbourhoods of the different wells and give weighted -estimates for the difference of these
and the exact eigenfunctions of the associated Dirichlet-operators.

Zeitschrift:
Asymptotic Analysis
Verlag:
IOS Press
Seiten:
61-89
Band:
97

2015 | On the lattice structure of kernel operators | Moritz Gerlach, Markus Kunze Zeitschrift: Mathematische Nachrichten Seiten: 584-592 Band: 288 Link zur Publikation, Link zum Preprint

### On the lattice structure of kernel operators

#### Autoren: Moritz Gerlach, Markus Kunze (2015)

Consider the lattice of bounded linear operators on the space of Borel measures on a Polish space. We prove that the operators which are continuous with respect to the weak topology induced by the bounded measurable functions form a sublattice that is lattice isomorphic to the space of transition kernels. As an application we present a purely analytic proof of Doob's theorem concerning stability of transition semigroups.

Zeitschrift:
Mathematische Nachrichten
Seiten:
584-592
Band:
288

2015 | Relative Cauchy evolution for the vector potential on globally hyperbolic spacetimes | Marco Benini Zeitschrift: Mathematics and Mechanics of Complex Systems Verlag: Mathematical Science Publishers Seiten: 177-210 Band: 3, no. 2 Link zur Publikation

### Relative Cauchy evolution for the vector potential on globally hyperbolic spacetimes

#### Autoren: Marco Benini (2015)

The dynamics of the electromagnetic vector potential is analyzed in full detail in view of the principle of general local covariance of Brunetti, Fredenhagen and Verch. Exploiting this result, the relative Cauchy evolution for the vector potential is introduced and its relation with the energy-momentum tensor is established, extending the well known results for Klein–Gordon and Dirac fields.

Zeitschrift:
Mathematics and Mechanics of Complex Systems
Verlag:
Mathematical Science Publishers
Seiten:
177-210
Band:
3, no. 2

2015 | Homotopy colimits and global observables in Abelian gauge theory | Marco Benini, Alexander Schenkel, Richard J. Szabo Zeitschrift: Lett. Math. Phys. Verlag: Springer Seiten: 1193-1222 Band: 105, no. 9 Link zur Publikation, Link zum Preprint

### Homotopy colimits and global observables in Abelian gauge theory

#### Autoren: Marco Benini, Alexander Schenkel, Richard J. Szabo (2015)

We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.

Zeitschrift:
Lett. Math. Phys.
Verlag:
Springer
Seiten:
1193-1222
Band:
105, no. 9

2015 | Models of free quantum field theories on curved backgrounds | Marco Benini, Claudio Dappiaggi Verlag: Springer Buchtitel: R. Brunetti, C. Dappiaggi, K. Fredenhagen, J. Yngvason (eds.): Advances in Algebraic Quantum Field Theory Seiten: 75-124 Link zur Publikation, Link zum Preprint

### Models of free quantum field theories on curved backgrounds

#### Autoren: Marco Benini, Claudio Dappiaggi (2015)

Free quantum field theories on curved backgrounds are discussed via three explicit examples: the real scalar field, the Dirac field and the Proca field. The first step consists of outlining the main properties of globally hyperbolic spacetimes, that is the class of manifolds on which the classical dynamics of all physically relevant free fields can be written in terms of a Cauchy problem. The set of all smooth solutions of the latter encompasses the dynamically allowed configurations which are used to identify via a suitable pairing a collection of classical observables. As a last step we use such collection to construct a *-algebra which encodes the information on the dynamics and on the canonical commutation or anti-commutation relations depending whether the underlying field is a Fermion or a Boson.

Verlag:
Springer
Buchtitel:
R. Brunetti, C. Dappiaggi, K. Fredenhagen, J. Yngvason (eds.): Advances in Algebraic Quantum Field Theory
Seiten:
75-124

2015 | An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary | Christian Bär, Alexander Strohmaier Link zum Preprint

### An index theorem for Lorentzian manifolds with compact spacelike Cauchy boundary

#### Autoren: Christian Bär, Alexander Strohmaier (2015)

We show that the Dirac operator on a compact globally hyperbolic Lorentzian spacetime with spacelike Cauchy boundary is a Fredholm operator if appropriate boundary conditions are imposed. We prove that the index of this operator is given by the same expression as in the index formula of Atiyah-Patodi-Singer for Riemannian manifolds with boundary. The index is also shown to equal that of a certain operator constructed from the evolution operator and a spectral projection on the boundary. In case the metric is of product type near the boundary a Feynman parametrix is constructed.

2015 | Cheeger-Simons differential characters with compact support and Pontryagin duality | Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo Link zum Preprint

### Cheeger-Simons differential characters with compact support and Pontryagin duality

#### Autoren: Christian Becker, Marco Benini, Alexander Schenkel, Richard J. Szabo (2015)

By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact sequences which compare it to compactly supported singular cohomology and differential forms with compact support, in full analogy to ordinary differential cohomology. By extending some results for relative differential cohomology we prove an excision theorem for differential cohomology. We further establish Pontryagin duality for differential cohomology: On any oriented manifold, ordinary differential cohomology is isomorphic to the smooth Pontryagin dual of compactly supported differential cohomology. For manifolds of finite-type, a similar result is obtained interchanging ordinary with compactly supported differential cohomology.

2015 | Large-scale modelling via alpha-regularization for atmospheric simulations | V. Aizinger, P. Korn, P. Giorgetta, S. Reich Zeitschrift: Journal of Turbulence, (to appear)

### Large-scale modelling via alpha-regularization for atmospheric simulations

#### Autoren: V. Aizinger, P. Korn, P. Giorgetta, S. Reich (2015)

Zeitschrift:
Journal of Turbulence, (to appear)

2015 | Multiple-time-stepping generalized hybrid Monte Carlo methods | B. Escribano, E. Akhmatskaya, S. Reich, J.M. Azprioz Zeitschrift: Journal of Computational Physics, Seiten: 1--20 Band: 280 Link zur Publikation

### Multiple-time-stepping generalized hybrid Monte Carlo methods

#### Autoren: B. Escribano, E. Akhmatskaya, S. Reich, J.M. Azprioz (2015)

Zeitschrift:
Journal of Computational Physics,
Seiten:
1--20
Band:
280

2015 | Data assimilation: a dynamical system perspective | Y. Cheng and S. Reich Reihe: Frontiers in Applied Dynamics: Reviews and Tutorials Verlag: Springer-Verlag Seiten: in press Band: 1 Link zur Publikation

### Data assimilation: a dynamical system perspective

#### Autoren: Y. Cheng and S. Reich (2015)

Reihe:
Frontiers in Applied Dynamics: Reviews and Tutorials
Verlag:
Springer-Verlag
Seiten:
in press
Band:
1

2015 | On embedding left-ordered groups into division rings | Gräter, J.; Sperner, R.P. Zeitschrift: Forum Math.27 Seiten: 485-518

### On embedding left-ordered groups into division rings

#### Autoren: Gräter, J.; Sperner, R.P. (2015)

Zeitschrift:
Forum Math.27
Seiten:
485-518

2015 | On Elementary Bounds for ... | Gräter, J.; Wirths, K.-J. Zeitschrift: Amer. Math. Monthly 122 Seiten: 155-158

### On Elementary Bounds for ...

#### Autoren: Gräter, J.; Wirths, K.-J. (2015)

Zeitschrift:
Amer. Math. Monthly 122
Seiten:
155-158

2015 | Abschätzungen der Reihenreste von Leibnizreihen | Gräter, Joachim; Wirths, K.-J. Zeitschrift: Math. Semesterber. 62 Seiten: 219-229

### Abschätzungen der Reihenreste von Leibnizreihen

#### Autoren: Gräter, Joachim; Wirths, K.-J. (2015)

Zeitschrift:
Math. Semesterber. 62
Seiten:
219-229

2015 | Development of Conceptual Understanding of Place Value | Silke Ladel, Ulrich Kortenkamp Buchtitel: ICME Study 23

### Development of Conceptual Understanding of Place Value

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2015)

Buchtitel:
ICME Study 23

2015 | Coupling distances between Lévy measures and applications to noise sensitivity of SDE | J. Gairing, M. Högele, T. Kosenkova, A. Kulik Zeitschrift: Stochastics and Dynamics 2 (2015) Link zur Publikation

### Coupling distances between Lévy measures and applications to noise sensitivity of SDE

#### Autoren: J. Gairing, M. Högele, T. Kosenkova, A. Kulik (2015)

Zeitschrift:
Stochastics and Dynamics 2 (2015)

2015 | Winkel in der Sekundarstufe I – Schülervorstellungen erforschen | Christian Dohrmann, Ana Kuzle Zeitschrift: Geometrie zwischen Grundbegriffen und Grundvorstellungen Verlag: Springer Seiten: 62-76 Band: Jubiläumsband des Arbeitskreises der Geometrie in der Gesellschaft für Didaktik der Mathematik

### Winkel in der Sekundarstufe I – Schülervorstellungen erforschen

#### Autoren: Christian Dohrmann, Ana Kuzle (2015)

Zeitschrift:
Geometrie zwischen Grundbegriffen und Grundvorstellungen
Verlag:
Springer
Seiten:
62-76
Band:
Jubiläumsband des Arbeitskreises der Geometrie in der Gesellschaft für Didaktik der Mathematik

2015 | On small-noise equations with degenerate limiting system arising from volatility models | G. Conforti, J.-D. Deuschel, S. de Marco Reihe: Proceedings in Mathematics & Statistics Verlag: Springer Buchtitel: Large Deviations and Asymptotic methods in Finance Band: 110 Link zur Publikation

### On small-noise equations with degenerate limiting system arising from volatility models

#### Autoren: G. Conforti, J.-D. Deuschel, S. de Marco (2015)

Reihe:
Proceedings in Mathematics & Statistics
Verlag:
Springer
Buchtitel:
Large Deviations and Asymptotic methods in Finance
Band:
110

2015 | Bridges of Markov counting processes. Reciprocal classes and duality formulae | G. Conforti, C. Léonard, R. Murr, S. Roelly Zeitschrift: Electron. Commun. Probab. 20-18 (2015) Seiten: 1-12 Link zur Publikation, Link zum Preprint

### Bridges of Markov counting processes. Reciprocal classes and duality formulae

#### Autoren: G. Conforti, C. Léonard, R. Murr, S. Roelly (2015)

Zeitschrift:
Electron. Commun. Probab. 20-18 (2015)
Seiten:
1-12

2015 | A quasi Random Walk to model a biological transport process | P. Keller, S. Roelly, A. Valleriani Zeitschrift: Methodology and Computing in Applied Probability 17 (2015) Seiten: 125-137 Link zur Publikation, Link zum Preprint

### A quasi Random Walk to model a biological transport process

#### Autoren: P. Keller, S. Roelly, A. Valleriani (2015)

Zeitschrift:
Methodology and Computing in Applied Probability 17 (2015)
Seiten:
125-137

2015 | On time duality for Markov chains | P. Keller, S. Roelly, A. Valleriani Zeitschrift: Stochastic Models 31-1 (2015) Seiten: 98-118 Link zur Publikation, Link zum Preprint

### On time duality for Markov chains

#### Autoren: P. Keller, S. Roelly, A. Valleriani (2015)

Zeitschrift:
Stochastic Models 31-1 (2015)
Seiten:
98-118

2015 | Averaging along Lévy diffusions in foliated spaces | M. Högele, P. Ruffino Zeitschrift: Nonlinear An. Band: 112 Link zum Preprint

### Averaging along Lévy diffusions in foliated spaces

#### Autoren: M. Högele, P. Ruffino (2015)

Zeitschrift:
Nonlinear An.
Band:
112

2015 | Metastability of Morse-Smale dynamical systems perturbed by heavy-tailed Lévy type noise | M. Högele, I. Pavlyukevich Zeitschrift: Stoch. Dyn. Link zur Publikation, Link zum Preprint

### Metastability of Morse-Smale dynamical systems perturbed by heavy-tailed Lévy type noise

#### Autoren: M. Högele, I. Pavlyukevich (2015)

Zeitschrift:
Stoch. Dyn.

2015 | Weakly differentiable functions on varifolds | Ulrich Menne Zeitschrift: Indiana Univ. Math. J. (to appear) Seiten: 1-102 Link zum Preprint

### Weakly differentiable functions on varifolds

#### Autoren: Ulrich Menne (2015)

The present paper is intended to provide the basis for the study of weakly differentiable functions on rectifiable varifolds with locally bounded first variation. The concept proposed here is defined by means of integration by parts identities for certain compositions with smooth functions. In this class the idea of zero boundary values is realised using the relative perimeter of superlevel sets. Results include a variety of Sobolev Poincaré type embeddings, embeddings into spaces of continuous and sometimes Hölder continuous functions, pointwise differentiability results both of approximate and integral type as well as coarea formulae.

As prerequisite for this study decomposition properties of such varifolds and a relative isoperimetric inequality are established. Both involve a concept of distributional boundary of a set introduced for this purpose.

As applications the finiteness of the geodesic distance associated to varifolds with suitable summability of the mean curvature and a charac- terisation of curvature varifolds are obtained.

Zeitschrift:
Indiana Univ. Math. J. (to appear)
Seiten:
1-102

2015 | Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds | Sławomir Kolasiński, Ulrich Menne Seiten: 1-53 Link zum Preprint

### Decay rates for the quadratic and super-quadratic tilt-excess of integral varifolds

#### Autoren: Sławomir Kolasiński, Ulrich Menne (2015)

This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space satisfying integrability conditions on their first variation. Firstly, the study of pointwise power decay rates almost everywhere of the quadratic tilt-excess is completed by establishing the precise decay rate for two-dimensional integral varifolds of locally bounded first variation. In order to obtain the exact decay rate, a coercive estimate involving a height-excess quantity measured in Orlicz spaces is established. Moreover, counter-examples to pointwise power decay rates almost everywhere of the super-quadratic tilt-excess are obtained. These examples are optimal in terms of the dimension of the varifold and the exponent of the integrability condition in most cases, for example if the varifold is not two-dimensional. These examples also demonstrate that within the scale of Lebesgue spaces no local higher integrability of the second fundamental form, of an at least two-dimensional curvature varifold, may be deduced from boundedness of its generalised mean curvature vector.

Amongst the tools are Cartesian products of curvature varifolds.

Seiten:
1-53

2015 | Sobolev functions on varifolds | Ulrich Menne Seiten: 1-51 Link zum Preprint

### Sobolev functions on varifolds

#### Autoren: Ulrich Menne (2015)

This paper introduces first order Sobolev spaces on certain rectifiable varifolds. These complete locally convex spaces are contained in the generally nonlinear class of generalised weakly differentiable functions and share key functional analytic properties with their Euclidean counterparts.

Assuming the varifold to satisfy a uniform lower density bound and a dimensionally critical summability condition on its mean curvature, the following statements hold. Firstly, continuous and compact embeddings of Sobolev spaces into Lebesgue spaces and spaces of continuous functions are available. Secondly, the geodesic distance associated to the varifold is a continuous, not necessarily Höolder continuous Sobolev function with bounded derivative. Thirdly, if the varifold additionally has bounded mean curvature and finite measure, the present Sobolev spaces are isomorphic to those previously available for finite Radon measures yielding many new results for those classes as well.

Suitable versions of the embedding results obtained for Sobolev functions hold in the larger class of generalised weakly differentiable functions.

Seiten:
1-51

2015 | Geometrically formal 4-manifolds with nonnegative sectional curvature | Christian Bär Zeitschrift: Comm. Anal. Geom. Verlag: International Press Seiten: 479-497 Band: 23, no. 3 Link zur Publikation, Link zum Preprint

### Geometrically formal 4-manifolds with nonnegative sectional curvature

#### Autoren: Christian Bär (2015)

A Riemannian manifold is called geometrically formal if the wedge product of any two harmonic forms is again harmonic. We classify geometrically formal compact 4-manifolds with nonnegative sectional curvature. If the sectional curvature is strictly positive, the manifold must be homeomorphic to S^4 or diffeomorphic to CP^2. This conclusion stills holds true if the sectional curvature is strictly positive and we relax the condition of geometric formality to the requirement that the length of harmonic 2-forms is not too nonconstant. In particular, the Hopf conjecture on S^2 x S^2 holds in this class of manifolds.

Zeitschrift:
Comm. Anal. Geom.
Verlag:
International Press
Seiten:
479-497
Band:
23, no. 3

2015 | Green-hyperbolic operators on globally hyperbolic spacetimes | Christian Bär Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 1585-1615 Band: 333, no. 3 Link zur Publikation, Link zum Preprint

### Green-hyperbolic operators on globally hyperbolic spacetimes

#### Autoren: Christian Bär (2015)

Green-hyperbolic operators are linear differential operators acting on sections of a vector bundle over a Lorentzian manifold which possess advanced and retarded Green's operators. The most prominent examples are wave operators and Dirac-type operators. This paper is devoted to a systematic study of this class of differential operators. For instance, we show that this class is closed under taking restrictions to suitable subregions of the manifold, under composition, under taking "square roots", and under the direct sum construction. Symmetric hyperbolic systems are studied in detail.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
1585-1615
Band:
333, no. 3

2015 | On infinitesimal Einstein deformations | Klaus Kröncke Zeitschrift: Differential Geom. Appl. Verlag: Elsevier Seiten: 41-57 Band: 38 Link zur Publikation, Link zum Preprint

### On infinitesimal Einstein deformations

#### Autoren: Klaus Kröncke (2015)

We study infinitesimal Einstein deformations on compact flat manifolds and on product manifolds. Moreover, we prove refinements of results by Koiso and Bourguignon which yield obstructions on the existence of infinitesimal Einstein deformations under certain curvature conditions.

Zeitschrift:
Differential Geom. Appl.
Verlag:
Elsevier
Seiten:
41-57
Band:
38

2015 | On the stability of Einstein manifolds | Klaus Kröncke Zeitschrift: Ann. Global Anal. Geom. Verlag: Springer Seiten: 81-98 Band: 47, no. 1 Link zur Publikation, Link zum Preprint

### On the stability of Einstein manifolds

#### Autoren: Klaus Kröncke (2015)

Certain curvature conditions for stability of Einstein manifolds with respect to the Einstein-Hilbert action are given. These conditions are given in terms of quantities involving the Weyl tensor and the Bochner tensor. In dimension six, a stability criterion involving the Euler characteristic is given.

Zeitschrift:
Ann. Global Anal. Geom.
Verlag:
Springer
Seiten:
81-98
Band:
47, no. 1

2015 | Initial value problems for wave equations on manifolds | Christian Bär, Roger Tagne Wafo Zeitschrift: Math. Phys. Anal. Geom. Verlag: Springer Seiten: Art.:7 Band: 18, no. 1 Link zur Publikation, Link zum Preprint

### Initial value problems for wave equations on manifolds

#### Autoren: Christian Bär, Roger Tagne Wafo (2015)

We study the global theory of linear wave equations for sections of vector bundles over globally hyperbolic Lorentz manifolds. We introduce spaces of finite energy sections and show well-posedness of the Cauchy problem in those spaces. These spaces depend in general on the choice of a time function but it turns out that certain spaces of finite energy solutions are independent of this choice and hence invariantly defined.
We also show existence and uniqueness of solutions for the Goursat problem where one prescribes initial data on a characteristic partial Cauchy hypersurface. This extends classical results due to H\"ormander.

Zeitschrift:
Math. Phys. Anal. Geom.
Verlag:
Springer
Seiten:
Art.:7
Band:
18, no. 1

2015 | Stability and instability of Ricci solitons | Klaus Kröncke Zeitschrift: Calc. Var. Partial Differ. Equ. Verlag: Springer Seiten: 265-287 Band: 53, no.1-2 Link zur Publikation, Link zum Preprint

### Stability and instability of Ricci solitons

#### Autoren: Klaus Kröncke (2015)

We consider the volume-normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton (M,g) is a local maximum of Perelman's shrinker entropy, any normalized Ricci flow starting close to it exists for all time and converges towards a Ricci soliton. If g is not a local maximum of the shrinker entropy, we show that there exists a nontrivial normalized Ricci flow emerging from it. These theorems are analogues of results in the Ricci-flat and in the Einstein case.

Zeitschrift:
Calc. Var. Partial Differ. Equ.
Verlag:
Springer
Seiten:
265-287
Band:
53, no.1-2

2015 | Rigidity and infinitesimal deformability of Ricci solitons | Klaus Kröncke Zeitschrift: J. Geom. Anal. Verlag: Springer Link zur Publikation, Link zum Preprint

### Rigidity and infinitesimal deformability of Ricci solitons

#### Autoren: Klaus Kröncke (2015)

In this paper, an obstruction against the integrability of certain infinitesimal solitonic deformations is given. Using this obstruction, we show that the complex projective spaces of even complex dimension are rigid as Ricci solitons although they have infinitesimal solitonic deformations.

Zeitschrift:
J. Geom. Anal.
Verlag:
Springer

2015 | A Semiclassical Heat Kernel Proof of the Poincaré-Hopf Theorem | Matthias Ludewig Zeitschrift: Manuscripta Math. Verlag: Springer Seiten: 29-58 Band: 148, no. 1-2 Link zur Publikation, Link zum Preprint

### A Semiclassical Heat Kernel Proof of the Poincaré-Hopf Theorem

#### Autoren: Matthias Ludewig (2015)

We treat the Witten operator on the de Rham complex with semiclassical heat kernel methods to derive the Poincar\'e-Hopf theorem and degenerate generalizations of it. Thereby, we see how the semiclassical asymptotics of the Witten heat kernel are related to approaches using the Thom form of Mathai and Quillen.

Zeitschrift:
Manuscripta Math.
Verlag:
Springer
Seiten:
29-58
Band:
148, no. 1-2

2015 | A confidence ellipse for the net reclassification improvement | Kristin Mhlenbruch, Olga Kuxhaus, Matthias Schulz, Heiner Boeing, Hannelore Liero, Michael Pencina Zeitschrift: European Journal of Epidemiology

### A confidence ellipse for the net reclassification improvement

#### Autoren: Kristin Mhlenbruch, Olga Kuxhaus, Matthias Schulz, Heiner Boeing, Hannelore Liero, Michael Pencina (2015)

Zeitschrift:
European Journal of Epidemiology

2014 | Meta-analysis for diagnostic accuracy studies: A new statistical model using beta-binomial distributions and bivariate copulas | O. Kuß, A. Hoyer, A. Solms Zeitschrift: Statistics in Medicine Seiten: 17-30 Band: 33 Link zur Publikation

### Meta-analysis for diagnostic accuracy studies: A new statistical model using beta-binomial distributions and bivariate copulas

#### Autoren: O. Kuß, A. Hoyer, A. Solms (2014)

Zeitschrift:
Statistics in Medicine
Seiten:
17-30
Band:
33

2014 | Monoclonal antibody disposition: a simplified PBPK model and its implications for the derivation and interpretation of classical compartment models | L. Fronton, S. Pilari, W. Huisinga Zeitschrift: J. Pharmacokinet. Pharmacodyn. Seiten: 87-107 Band: 41 Link zur Publikation, Suppl Material (Matlab code)

### Monoclonal antibody disposition: a simplified PBPK model and its implications for the derivation and interpretation of classical compartment models

#### Autoren: L. Fronton, S. Pilari, W. Huisinga (2014)

Zeitschrift:
J. Pharmacokinet. Pharmacodyn.
Seiten:
87-107
Band:
41

2014 | Quantifying the degree of persistence in random amoeboid motion based on the Hurst exponent of fractional Brownian motion | N. Makarava, S. Menz, M. Theves, W. Huisinga, C. Beta, M. Holschneider Zeitschrift: Phys Rev E 90, 042703 Link zur Publikation

### Quantifying the degree of persistence in random amoeboid motion based on the Hurst exponent of fractional Brownian motion

#### Autoren: N. Makarava, S. Menz, M. Theves, W. Huisinga, C. Beta, M. Holschneider (2014)

Zeitschrift:
Phys Rev E 90, 042703

2014 | Estimating HIV-1 Fitness Characteristics from Cross-sectional Genotype Data | S. Gopalakrishnan, H. Montazeri, S. Menz, N. Beerenwinkel, W. Huisinga Zeitschrift: PLoS Computational Biology Seiten: 1-14 Band: 10 Link zur Publikation, e1003886, Suppl Material (R and Matlab code)

### Estimating HIV-1 Fitness Characteristics from Cross-sectional Genotype Data

#### Autoren: S. Gopalakrishnan, H. Montazeri, S. Menz, N. Beerenwinkel, W. Huisinga (2014)

Zeitschrift:
PLoS Computational Biology
Seiten:
1-14
Band:
10
e1003886, Suppl Material (R and Matlab code)

2014 | he subsemigroups of the full transformation semigroup T_n in the ideal K(n,2) satisfying x^k=x | Jende, A., Koppitz, J. and Musunthia, T. Zeitschrift: Southeast Asian Bulletin of Mathematics Band: 34

### he subsemigroups of the full transformation semigroup T_n in the ideal K(n,2) satisfying x^k=x

#### Autoren: Jende, A., Koppitz, J. and Musunthia, T. (2014)

Zeitschrift:
Southeast Asian Bulletin of Mathematics
Band:
34

2014 | Maximal Subsemigroups containing a particular semigroup | Koppitz, J. and Musunthia, T. Zeitschrift: Mathematica Slovaca Band: 64

### Maximal Subsemigroups containing a particular semigroup

#### Autoren: Koppitz, J. and Musunthia, T. (2014)

Zeitschrift:
Mathematica Slovaca
Band:
64

2014 | Density problems on vector bundles and manifolds | Lashi Bandara Zeitschrift: Proc. Amer. Math. Soc. Verlag: AMS Seiten: 2683-2695 Band: 142, no. 8 Link zur Publikation, Link zum Preprint

### Density problems on vector bundles and manifolds

#### Autoren: Lashi Bandara (2014)

We study some canonical differential operators on vector bundles over smooth, complete Riemannian manifolds. Under very general assumptions, we show that smooth, compactly supported sections are dense in the domains of these operators. Furthermore, we show that smooth, compactly supported functions are dense in second order Sobolev spaces on such manifolds under the sole additional assumption that the Ricci curvature is uniformly bounded from below.

Zeitschrift:
Proc. Amer. Math. Soc.
Verlag:
AMS
Seiten:
2683-2695
Band:
142, no. 8

2014 | An estimate of the rate of convergence of a sequence of additive functionals of difference approximations for a multidimensional diffusion process | Iu. Ganychenko Zeitschrift: Theory of Probability and Mathematical Statistics Band: 90 Link zur Publikation

### An estimate of the rate of convergence of a sequence of additive functionals of difference approximations for a multidimensional diffusion process

#### Autoren: Iu. Ganychenko (2014)

Zeitschrift:
Theory of Probability and Mathematical Statistics
Band:
90

2014 | Rates of approximation of nonsmooth integral-type functionals of Markov processes | Iu. Ganychenko, A. Kulik Zeitschrift: Modern Stochastics: Theory and Applications Reihe: 2 Seiten: 117-126 Band: 1 Link zur Publikation

### Rates of approximation of nonsmooth integral-type functionals of Markov processes

#### Autoren: Iu. Ganychenko, A. Kulik (2014)

Zeitschrift:
Modern Stochastics: Theory and Applications
Reihe:
2
Seiten:
117-126
Band:
1

2014 | Didactical desiderata from a sociological approach to logic | David Kollosche Buchtitel: Aldon, Di Paola & Fazio (Hg.) Mathematics and Reality. Proceedings of CIEAEM 66

### Didactical desiderata from a sociological approach to logic

#### Autoren: David Kollosche (2014)

Buchtitel:
Aldon, Di Paola & Fazio (Hg.) Mathematics and Reality. Proceedings of CIEAEM 66

2014 | Mean ergodic theorems on norming dual pairs | Moritz Gerlach, Markus Kunze Zeitschrift: Ergodic Theory and Dynamical Systems Seiten: 1210–1229 Band: 34 Link zur Publikation, Link zum Preprint

### Mean ergodic theorems on norming dual pairs

#### Autoren: Moritz Gerlach, Markus Kunze (2014)

We extend the classical mean ergodic theorem to the setting of norming dual pairs. It turns out that, in general, not all equivalences from the Banach space setting remain valid in our situation. However, for Markovian semigroups on the norming dual pair (C_b(E), M(E)) all classical equivalences hold true under an additional assumption which is slightly weaker than the e-property.

Zeitschrift:
Ergodic Theory and Dynamical Systems
Seiten:
1210–1229
Band:
34

2014 | A Tauberian theorem for strong Feller semigroups | Moritz Gerlach Zeitschrift: Archiv der Mathematik Seiten: 245-255 Band: 3 Link zur Publikation, Link zum Preprint

### A Tauberian theorem for strong Feller semigroups

#### Autoren: Moritz Gerlach (2014)

We prove that a weakly ergodic, eventually strong Feller semigroup on the space of measures on a Polish space converges strongly to a projection onto its fixed space.

Zeitschrift:
Archiv der Mathematik
Seiten:
245-255
Band:
3

2014 | Quantized Abelian principal connections on Lorentzian manifolds | Marco Benini, Claudio Dappiaggi, Alexander Schenkel Zeitschrift: Commun. Math. Phys. Verlag: Springer Seiten: 123-152 Band: 330, no. 1 Link zur Publikation, Link zum Preprint

### Quantized Abelian principal connections on Lorentzian manifolds

#### Autoren: Marco Benini, Claudio Dappiaggi, Alexander Schenkel (2014)

We construct a covariant functor from a category of Abelian principal bundles over globally hyperbolic spacetimes to a category of *-algebras that describes quantized principal connections. We work within an appropriate differential geometric setting by using the bundle of connections and we study the full gauge group, namely the group of vertical principal bundle automorphisms. Properties of our functor are investigated in detail and, similar to earlier works, it is found that due to topological obstructions the locality property of locally covariant quantum field theory is violated. Furthermore, we prove that, for Abelian structure groups containing a nontrivial compact factor, the gauge invariant Borchers-Uhlmann algebra of the vector dual of the bundle of connections is not separating on gauge equivalence classes of principal connections. We introduce a topological generalization of the concept of locally covariant quantum fields. As examples, we construct for the category of principal U(1)-bundles two natural transformations from singular homology functors to the quantum field theory functor that can be interpreted as the Chern class and the electric charge. In this case we also prove that the electric charges can be consistently set to zero, which yields another quantum field theory functor that satisfies all axioms of locally covariant quantum field theory.

Zeitschrift:
Commun. Math. Phys.
Verlag:
Springer
Seiten:
123-152
Band:
330, no. 1

2014 | A C*-algebra for quantized Abelian principal U(1)-connections on globally hyperbolic Lorentzian manifolds | Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack, Alexander Schenkel Zeitschrift: Commun. Math. Phys. Verlag: Springer Seiten: 477-504 Band: 332, no. 1 Link zur Publikation, Link zum Preprint

### A C*-algebra for quantized Abelian principal U(1)-connections on globally hyperbolic Lorentzian manifolds

#### Autoren: Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack, Alexander Schenkel (2014)

The aim of this work is to complete our program on the quantization of connections on arbitrary principal U(1)-bundles over globally hyperbolic Lorentzian manifolds. In particular, we show that one can assign via a covariant functor to any such bundle an algebra of observables which separates gauge equivalence classes of connections. The C*-algebra we construct generalizes the usual CCR-algebras since, contrary to the standard field-theoretic models, it is based on a presymplectic Abelian group instead of a symplectic vector space. We prove a no-go theorem according to which neither this functor, nor any of its quotients, satisfies the strict axioms of general local covariance. As a byproduct, we prove that a morphism violates the locality axiom if and only if a certain induced morphism of cohomology groups is non-injective. We then show that fixing any principal U(1)-bundle, there exists a suitable category of sub-bundles for which a quotient of our functor yields a quantum field theory in the sense of Haag and Kastler. We shall provide a physical interpretation of this feature and we obtain some new insights concerning electric charges in locally covariant quantum field theory.

Zeitschrift:
Commun. Math. Phys.
Verlag:
Springer
Seiten:
477-504
Band:
332, no. 1

2014 | Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states | Marco Benini, Claudio Dappiaggi, Simone Murro Zeitschrift: J. Math. Phys. Verlag: American Institute of Physics Seiten: Art. ID: 082301 Link zur Publikation, Link zum Preprint

### Radiative observables for linearized gravity on asymptotically flat spacetimes and their boundary induced states

#### Autoren: Marco Benini, Claudio Dappiaggi, Simone Murro (2014)

We discuss the quantization of linearized gravity on globally hyperbolic, asymptotically flat, vacuum spacetimes and the construction of distinguished states which are both of Hadamard form and invariant under the action of all bulk isometries. The procedure, we follow, consists of looking for a realization of the observables of the theory as a sub-algebra of an auxiliary, non-dynamical algebra constructed on future null infinity ℑ+. The applicability of this scheme is tantamount to proving that a solution of the equations of motion for linearized gravity can be extended smoothly to ℑ+. This has been claimed to be possible provided that a suitable gauge fixing condition, first written by Geroch and Xanthopoulos, is imposed. We review its definition critically showing that there exists a previously unnoticed obstruction in its implementation leading us to introducing the concept of radiative observables. These constitute an algebra for which a Hadamard state induced from null infinity and invariant under the action of all spacetime isometries exists and it is explicitly constructed.

Zeitschrift:
J. Math. Phys.
Verlag:
American Institute of Physics
Seiten:
Art. ID: 082301

2014 | Locality in Abelian gauge theories over globally hyperbolic spacetimes | Marco Benini Zeitschrift: PhD thesis Verlag: University of Pavia Link zum Preprint

### Locality in Abelian gauge theories over globally hyperbolic spacetimes

#### Autoren: Marco Benini (2014)

The thesis investigates the locality axiom of general local covariance for Abelian gauge theories. Two models, Maxwell k-forms (higher analogues of the electromagnetic vector potential) and the U(1) Yang-Mills model are analyzed over globally hyperbolic spacetimes. Our attention is mainly focused on the locality axiom of general local covariance, which states that a causal embedding between spacetimes should induce an inclusion at the level of observables. Both at the classical and at the quantum level, it turns out that the models we consider violate locality depending on certain global features of the background spacetime. For Maxwell k-forms, we prove that there is no coherent way to recover the locality axiom. For the U(1) Yang-Mills model we adopt two different approaches: in the first one locality can be recovered coherently, but the class of observables we consider fails in detecting those field configurations which correspond to the Aharonov-Bohm effect; conversely, in our second approach observables are defined in the spirit of Wilson loops (hence capturing also Aharonov-Bohm configurations), but a no-go theorem shows that locality cannot be recovered in a coherent way.

Zeitschrift:
PhD thesis
Verlag:
University of Pavia

2014 | The largest expected earthquake magnitudes in Japan: The statistical perspective | Gert Zöller, Sebastian Hainzl, Matthias Holschneider, Jianzang Zhuang Zeitschrift: Bull. Seismol. Soc. Am. Verlag: Seismological Society of America Seiten: 769-779 Band: 104 Link zur Publikation

### The largest expected earthquake magnitudes in Japan: The statistical perspective

#### Autoren: Gert Zöller, Sebastian Hainzl, Matthias Holschneider, Jianzang Zhuang (2014)

Zeitschrift:
Bull. Seismol. Soc. Am.
Verlag:
Seismological Society of America
Seiten:
769-779
Band:
104

2014 | Can we test for the maximum possible earthquake magnitude? | Matthias Holschneider, Gert Zöller, Robert Clements, Danijel Schorlemmer Zeitschrift: J. Geophys. Res. Verlag: American Geophysical Union Seiten: 2019-2028 Band: 119 Link zur Publikation

### Can we test for the maximum possible earthquake magnitude?

#### Autoren: Matthias Holschneider, Gert Zöller, Robert Clements, Danijel Schorlemmer (2014)

Zeitschrift:
J. Geophys. Res.
Verlag:
American Geophysical Union
Seiten:
2019-2028
Band:
119

2014 | Large earthquake hazard of the San Jacinto fault zone, CA, from long record of simulated seismicity assimilating the available instrumental and paleoseismic data | Gert Zöller, Yehuda Ben-Zion Zeitschrift: Pure Appl. Geophys Verlag: Springer Seiten: 2955-2965 Band: 171 Link zur Publikation

### Large earthquake hazard of the San Jacinto fault zone, CA, from long record of simulated seismicity assimilating the available instrumental and paleoseismic data

#### Autoren: Gert Zöller, Yehuda Ben-Zion (2014)

Zeitschrift:
Pure Appl. Geophys
Verlag:
Springer
Seiten:
2955-2965
Band:
171

2014 | Assessment of stress coupling among the inter-, co- and post- seismic phases related to the 2004 M6 Parkfield earthquake | Lifeng Wang, Sebastian Hainzl, Gert Zöller Zeitschrift: Geophys. J. Int. Verlag: Oxford Journals Seiten: 1858-1868 Band: 197 Link zur Publikation

### Assessment of stress coupling among the inter-, co- and post- seismic phases related to the 2004 M6 Parkfield earthquake

#### Autoren: Lifeng Wang, Sebastian Hainzl, Gert Zöller (2014)

Zeitschrift:
Geophys. J. Int.
Verlag:
Oxford Journals
Seiten:
1858-1868
Band:
197

2014 | Joint determination of slip and stress drop in a Bayesian inversion approach: A case study for the 2010 M8.8 Maule earthquake | Lifeng Wang, Gert Zöller, Sebastian Hainzl Zeitschrift: Pure Appl. Geophys Verlag: Springer Seiten: 375-388 Band: 172 Link zur Publikation

### Joint determination of slip and stress drop in a Bayesian inversion approach: A case study for the 2010 M8.8 Maule earthquake

#### Autoren: Lifeng Wang, Gert Zöller, Sebastian Hainzl (2014)

Zeitschrift:
Pure Appl. Geophys
Verlag:
Springer
Seiten:
375-388
Band:
172

2014 | Induced seismicity: What is the size of the largest expected earthquake? | Gert Zöller, Matthias Holschneider Zeitschrift: Bull. Seismol. Soc. Am. Verlag: Seismological Society of America Seiten: 3153-3158 Band: 104 Link zur Publikation

### Induced seismicity: What is the size of the largest expected earthquake?

#### Autoren: Gert Zöller, Matthias Holschneider (2014)

Zeitschrift:
Bull. Seismol. Soc. Am.
Verlag:
Seismological Society of America
Seiten:
3153-3158
Band:
104

2014 | Schonend melken ohne Haftvakuum | Ulrich Ströbel, Sandra Rose-Meierhöfer, Reiner Brunsch, Toni Luhdo Zeitschrift: agrarmanager Seiten: 58-61 Band: 11

### Schonend melken ohne Haftvakuum

#### Autoren: Ulrich Ströbel, Sandra Rose-Meierhöfer, Reiner Brunsch, Toni Luhdo (2014)

Zeitschrift:
agrarmanager
Seiten:
58-61
Band:
11

2014 | Analytical calculation of flow profiles and forces between teatcup and teat | Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer Zeitschrift: Proceedings. International Conference of Agricultural Engineering AgEng 2014 Link zur Publikation

### Analytical calculation of flow profiles and forces between teatcup and teat

#### Autoren: Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer (2014)

Zeitschrift:
Proceedings. International Conference of Agricultural Engineering AgEng 2014

2014 | Development of a vacuum control system and vacuum adaption system for the teat-end vacuum in modern milking systems | Ulrich Ströbel, Sandra Rose-Meierhöfer, Toni Luhdo, Reiner Brunsch Zeitschrift: Proceedings. ASABE and CSBE - SCGAB Annual International Meeting 2014 Link zur Publikation

### Development of a vacuum control system and vacuum adaption system for the teat-end vacuum in modern milking systems

#### Autoren: Ulrich Ströbel, Sandra Rose-Meierhöfer, Toni Luhdo, Reiner Brunsch (2014)

Zeitschrift:
Proceedings. ASABE and CSBE - SCGAB Annual International Meeting 2014

2014 | Analytical calculation of flow profiles and forces between teatcup and teat | Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer Zeitschrift: Proceedings. ASABE and CSBE - SCGAB Annual International Meeting 2014 Link zur Publikation

### Analytical calculation of flow profiles and forces between teatcup and teat

#### Autoren: Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer (2014)

Zeitschrift:
Proceedings. ASABE and CSBE - SCGAB Annual International Meeting 2014

2014 | Bayesian inversion for the filtered flow at the Earth's core-mantle boundary | Julien Baerenzung, Matthias Holschneider, Vincent Lesur Zeitschrift: Journal of Geophysical Research: Solid Earth Seiten: 2695-2720 Band: 119 Link zur Publikation

### Bayesian inversion for the filtered flow at the Earth's core-mantle boundary

#### Autoren: Julien Baerenzung, Matthias Holschneider, Vincent Lesur (2014)

Zeitschrift:
Journal of Geophysical Research: Solid Earth
Seiten:
2695-2720
Band:
119

2014 | Inverse Sturm-Liouville Problems with Pseudospectral Methods | H. Altundag, C. Böckmann, H. Taseli Zeitschrift: International Journal of Computer Mathematics Seiten: 1--13 Band: 91 Link zur Publikation

### Inverse Sturm-Liouville Problems with Pseudospectral Methods

#### Autoren: H. Altundag, C. Böckmann, H. Taseli (2014)

Zeitschrift:
International Journal of Computer Mathematics
Seiten:
1--13
Band:
91

2014 | Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data | C. Böckmann, L. Osterloh Zeitschrift: Inverse Problems in Science and Engineering Seiten: 150-165 Band: 22 Link zur Publikation

### Runge-Kutta type regularization method for inversion of spheroidal particle distribution from limited optical data

#### Autoren: C. Böckmann, L. Osterloh (2014)

Zeitschrift:
Inverse Problems in Science and Engineering
Seiten:
150-165
Band:
22

2014 | On the theory of mass conserving transformations for Lagrangian methods in 3D atmosphere-chemistry models | V. Grewe, S. Brinkop, P. Joeckel, S. Shin, S. Reich, H. Yserentant, Zeitschrift: Meteorologische Zeitschrift Seiten: 441-447 Band: 23 Link zur Publikation

### On the theory of mass conserving transformations for Lagrangian methods in 3D atmosphere-chemistry models

#### Autoren: V. Grewe, S. Brinkop, P. Joeckel, S. Shin, S. Reich, H. Yserentant, (2014)

Zeitschrift:
Meteorologische Zeitschrift
Seiten:
441-447
Band:
23

2014 | On the consistency of ensemble transform filter formulations. Journal of Computational Dynamics | S. Reich and S. Shin Zeitschrift: Journal of Computational Dynamics Seiten: 177-189 Band: 1 Link zur Publikation

### On the consistency of ensemble transform filter formulations. Journal of Computational Dynamics

#### Autoren: S. Reich and S. Shin (2014)

Zeitschrift:
Journal of Computational Dynamics
Seiten:
177-189
Band:
1

2014 | Ensemble transform Kalman-Bucy filter | J. Amezcua, E. Kalnay, K. Ide, S. Reich Zeitschrift: Q.J. Royal Meteorological Soc Seiten: 995-1004 Band: 140 Link zur Publikation

### Ensemble transform Kalman-Bucy filter

#### Autoren: J. Amezcua, E. Kalnay, K. Ide, S. Reich (2014)

Zeitschrift:
Q.J. Royal Meteorological Soc
Seiten:
995-1004
Band:
140

2014 | A class of elliptic operators on a manifold with edge and boundary | N. Habal, B.-W. Schulze, and W. Rungrottheera Zeitschrift: Trends in Mathematics, Fourier Analysis

### A class of elliptic operators on a manifold with edge and boundary

#### Autoren: N. Habal, B.-W. Schulze, and W. Rungrottheera (2014)

Zeitschrift:
Trends in Mathematics, Fourier Analysis

2014 | An extremal problem related to analytic continuation | O. Makhmudov and N. Tarkhanov Zeitschrift: Mathematics and Physics 7 Reihe: no. 1 Seiten: 79--90

### An extremal problem related to analytic continuation

#### Autoren: O. Makhmudov and N. Tarkhanov (2014)

Zeitschrift:
Mathematics and Physics 7
Reihe:
no. 1
Seiten:
79--90

2014 | Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point | A, Antoniouk, O. Kiselev and N. Tarkhanov Zeitschrift: Ukrainian Math. J. 66 Reihe: no. 10 Seiten: 1299--1317

### Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point

#### Autoren: A, Antoniouk, O. Kiselev and N. Tarkhanov (2014)

Zeitschrift:
Ukrainian Math. J. 66
Reihe:
no. 10
Seiten:
1299--1317

2014 | Asymptotics in weighted corner spaces | X. Lyu Zeitschrift: Asian-European Journal of Mathematics Reihe: Vol.7 Seiten: 1450050-1-1450050-36

### Asymptotics in weighted corner spaces

#### Autoren: X. Lyu (2014)

Zeitschrift:
Asian-European Journal of Mathematics
Reihe:
Vol.7
Seiten:
1450050-1-1450050-36

2014 | Conical zeta values and their double subdivision relations | L. Guo, S. Paycha and B. Zhang Zeitschrift: Adv. in Math. Seiten: p. 343-381

### Conical zeta values and their double subdivision relations

#### Autoren: L. Guo, S. Paycha and B. Zhang (2014)

Zeitschrift:
Seiten:
p. 343-381

2014 | Counterterms in the context of the universal Hopf algebra of renormalization | A. Shojaei-Fard Zeitschrift: International Journal of Modern Physics A, Reihe: Vol. 29 Seiten: 1450045 (15 pages)

### Counterterms in the context of the universal Hopf algebra of renormalization

#### Autoren: A. Shojaei-Fard (2014)

Zeitschrift:
International Journal of Modern Physics A,
Reihe:
Vol. 29
Seiten:
1450045 (15 pages)

2014 | Differential invariants of a class of Lagrangian systems with two degrees of freedom | Yu. Bagderina and N. Tarkhanov Zeitschrift: J. Math. Anal. Appl. 410 Seiten: 733--749

### Differential invariants of a class of Lagrangian systems with two degrees of freedom

#### Autoren: Yu. Bagderina and N. Tarkhanov (2014)

Zeitschrift:
J. Math. Anal. Appl. 410
Seiten:
733--749

2014 | Flat bundles, von Neumann algebras and K-theory with R/Z - coefficients | Paolo Antonini, Sara Azzali, Georges Skandalis Zeitschrift: Journal of K-theory vol 13 Reihe: Issue 2 Seiten: pp. 275-303

### Flat bundles, von Neumann algebras and K-theory with R/Z - coefficients

#### Autoren: Paolo Antonini, Sara Azzali, Georges Skandalis (2014)

Zeitschrift:
Journal of K-theory vol 13
Reihe:
Issue 2
Seiten:
pp. 275-303

2014 | Generalised Beltrami equations | I. Ly and N. Tarkhanov Zeitschrift: Complex Variables and Elliptic Equations 59

### Generalised Beltrami equations

#### Autoren: I. Ly and N. Tarkhanov (2014)

Zeitschrift:
Complex Variables and Elliptic Equations 59

2014 | Iterative properties of pseudo-differential operators on edge spaces | W. Rungrottheera and B.-W. Schulze, and M.W. Wong Zeitschrift: J. Pseudo-Differ. Oper. Appl. (2014) textbf{5} Seiten: 455?479

### Iterative properties of pseudo-differential operators on edge spaces

#### Autoren: W. Rungrottheera and B.-W. Schulze, and M.W. Wong (2014)

Zeitschrift:
J. Pseudo-Differ. Oper. Appl. (2014) textbf{5}
Seiten:
455?479

2014 | Normally solvable nonlinear boundary value problems | A. Alsaedy and N. Tarkhanov Zeitschrift: Nonlinear Analysis 95 Seiten: 468--482

### Normally solvable nonlinear boundary value problems

#### Autoren: A. Alsaedy and N. Tarkhanov (2014)

Zeitschrift:
Nonlinear Analysis 95
Seiten:
468--482

2014 | Scattering of trajectories at a separatrix under autoresonance | O. Kiselev and N. Tarkhanov. Zeitschrift: J. Math. Phys. 55 Reihe: Issue 5

### Scattering of trajectories at a separatrix under autoresonance

#### Autoren: O. Kiselev and N. Tarkhanov. (2014)

Zeitschrift:
J. Math. Phys. 55
Reihe:
Issue 5

2014 | The canonical trace and the noncommutative residue on the noncommutative torus | C. Lévy, C. Neira-Jimenez, S. Paycha Zeitschrift: To appear in Trans. Amer. Math. Soc.

### The canonical trace and the noncommutative residue on the noncommutative torus

#### Autoren: C. Lévy, C. Neira-Jimenez, S. Paycha (2014)

Zeitschrift:
To appear in Trans. Amer. Math. Soc.

2014 | The capture of a particle into resonance at potential hole with dissipative perturbation | O. Kiselev and N. Tarkhanov Zeitschrift: Chaos, Solitons and Fractals 58 (2014) Seiten: 27--39

### The capture of a particle into resonance at potential hole with dissipative perturbation

#### Autoren: O. Kiselev and N. Tarkhanov (2014)

Zeitschrift:
Chaos, Solitons and Fractals 58 (2014)
Seiten:
27--39

2014 | The edge algebra structure of the Zaremba problem | D.-C. Chang, N. Habal, and B.-W. Schulze Zeitschrift: J. Pseudo-Differ. Oper. Appl. 5, Seiten: 69-155

### The edge algebra structure of the Zaremba problem

#### Autoren: D.-C. Chang, N. Habal, and B.-W. Schulze (2014)

Zeitschrift:
J. Pseudo-Differ. Oper. Appl. 5,
Seiten:
69-155

2014 | Weighted spaces on corner manifolds | W. Rungrottheera and B.-W. Schulze Zeitschrift: Complex Variables and Elliptic Equations, 59, 12 Seiten: 1706-1738

### Weighted spaces on corner manifolds

#### Autoren: W. Rungrottheera and B.-W. Schulze (2014)

Zeitschrift:
Complex Variables and Elliptic Equations, 59, 12
Seiten:
1706-1738

2014 | Mathe verstehen durch Papierfalten. Anleitungen und Arbeitsblätter für die Sekundarstufe | Heiko Etzold, Ines Petzschler Verlag: Mülheim an der Ruhr

### Mathe verstehen durch Papierfalten. Anleitungen und Arbeitsblätter für die Sekundarstufe

#### Autoren: Heiko Etzold, Ines Petzschler (2014)

Verlag:
Mülheim an der Ruhr

2014 | Intelligentes Üben im Spiel | Heiko Etzold, Ines Petzschler Zeitschrift: mathematik lehren Verlag: Friedrich Verlag Seiten: 6-9 Band: 186

### Intelligentes Üben im Spiel

#### Autoren: Heiko Etzold, Ines Petzschler (2014)

Zeitschrift:
mathematik lehren
Verlag:
Friedrich Verlag
Seiten:
6-9
Band:
186

2014 | On the evolution of hypersurfaces by their inverse null mean curvature | Kristen Moore Zeitschrift: J. Differential Geom. Seiten: 425-466 Band: 98 Link zur Publikation

### On the evolution of hypersurfaces by their inverse null mean curvature

#### Autoren: Kristen Moore (2014)

Zeitschrift:
J. Differential Geom.
Seiten:
425-466
Band:
98

2014 | Eine Stadt von allen Seiten - MatheWelt-Heft | Heiko Etzold, Thomas Krohn, Ines Petzschler, Silvia Schöneburg Zeitschrift: mathematik lehren Verlag: Friedrich Verlag Band: 186

### Eine Stadt von allen Seiten - MatheWelt-Heft

#### Autoren: Heiko Etzold, Thomas Krohn, Ines Petzschler, Silvia Schöneburg (2014)

Zeitschrift:
mathematik lehren
Verlag:
Friedrich Verlag
Band:
186

2014 | An Explorative Study of Search of Model Space in Problem Solving | Saskia Kistner, Bruce Burns, Regina Vollmeyer, Ulrich Kortenkamp Zeitschrift: Journal of Cognitive Psychology Link zur Publikation

### An Explorative Study of Search of Model Space in Problem Solving

#### Autoren: Saskia Kistner, Bruce Burns, Regina Vollmeyer, Ulrich Kortenkamp (2014)

Zeitschrift:
Journal of Cognitive Psychology

2014 | Early Mathematics Learning - Selected Papers of the POEM 2012 Conference | Ulrich Kortenkamp, Birgit Brandt, Christiane Benz, Götz Krummheuer, Silke Ladel, Rose Vogel Verlag: Springer-Verlag Link zur Publikation

### Early Mathematics Learning - Selected Papers of the POEM 2012 Conference

#### Autoren: Ulrich Kortenkamp, Birgit Brandt, Christiane Benz, Götz Krummheuer, Silke Ladel, Rose Vogel (2014)

Verlag:
Springer-Verlag

2014 | „Ist das dann noch ein Zehner oder ist das dann ein Einer?'' - Zu einem flexiblen Verständnis von Stellenwerten | Silke Ladel, Ulrich Kortenkamp Verlag: WTM Verlag Buchtitel: Beiträge zum Mathematikunterricht. Vorträge auf der 48. Tagung für Didaktik der Mathematik in Koblenz

### „Ist das dann noch ein Zehner oder ist das dann ein Einer?'' - Zu einem flexiblen Verständnis von Stellenwerten

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2014)

Verlag:
WTM Verlag
Buchtitel:
Beiträge zum Mathematikunterricht. Vorträge auf der 48. Tagung für Didaktik der Mathematik in Koblenz

2014 | Number concepts - processes of internalization and externalization by the use of multi-touch technology | Silke Ladel, Ulrich Kortenkamp Buchtitel: Early Mathematics Learning

### Number concepts - processes of internalization and externalization by the use of multi-touch technology

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2014)

Buchtitel:
Early Mathematics Learning

2014 | Open Discovery Space - Austausch von Open Educational Resources in einem zentralen Netzwerk | Christoph Bail, Ulrich Kortenkamp, Paul Libbrecht Zeitschrift: Friedrich-Ebert-Stiftung Buchtitel: Schöne neue Welt? Open Educational Resources an Schulen Link zur Publikation

### Open Discovery Space - Austausch von Open Educational Resources in einem zentralen Netzwerk

#### Autoren: Christoph Bail, Ulrich Kortenkamp, Paul Libbrecht (2014)

Zeitschrift:
Friedrich-Ebert-Stiftung
Buchtitel:
Schöne neue Welt? Open Educational Resources an Schulen

2014 | So rechnet Deutschland - Ergebnisse und Hypothesen einer Umfrage | Ulrich Kortenkamp, Anselm Lambert Verlag: WTM Verlag

### So rechnet Deutschland - Ergebnisse und Hypothesen einer Umfrage

#### Autoren: Ulrich Kortenkamp, Anselm Lambert (2014)

Verlag:
WTM Verlag

2014 | Tätigkeitsorientiert zu einem flexiblen Verständnis von Stellenwerten - Ein Ansatz aus Sicht der Artefact-Centric Activity Theory | Silke Ladel, Ulrich Kortenkamp Buchtitel: Lernen, Lehren und Forschen mit digitalen Medien Band: 2

### Tätigkeitsorientiert zu einem flexiblen Verständnis von Stellenwerten - Ein Ansatz aus Sicht der Artefact-Centric Activity Theory

#### Autoren: Silke Ladel, Ulrich Kortenkamp (2014)

Buchtitel:
Lernen, Lehren und Forschen mit digitalen Medien
Band:
2

2014 | Mathematics and Power: An Alliance in the Foundations of Mathematics and its Teaching | David Kollosche Zeitschrift: ZDM. The International Journal on Mathematics Education

### Mathematics and Power: An Alliance in the Foundations of Mathematics and its Teaching

#### Autoren: David Kollosche (2014)

Zeitschrift:
ZDM. The International Journal on Mathematics Education

2014 | Gesellschaftliche Funktionen des Mathematikunterrichts. Ein soziologischer Beitrag zum kritischen Verständnis mathematischer Bildung | David Kollosche Verlag: Springer

### Gesellschaftliche Funktionen des Mathematikunterrichts. Ein soziologischer Beitrag zum kritischen Verständnis mathematischer Bildung

#### Autoren: David Kollosche (2014)

Verlag:
Springer

2014 | Propagation of Gibbsianness for infinite-dimensional diffusions with space-time interaction | S. Roelly, W. Ruszel Zeitschrift: Markov Proc. Rel. Fields Seiten: 653-674 Band: 20 Link zur Publikation, Link zum Preprint

### Propagation of Gibbsianness for infinite-dimensional diffusions with space-time interaction

#### Autoren: S. Roelly, W. Ruszel (2014)

Zeitschrift:
Markov Proc. Rel. Fields
Seiten:
653-674
Band:
20

2014 | The exit problem from the neighborhood of a global attractor for heavy-tailed Lévy diffusions | M. Högele, I. Pavlyukevich Zeitschrift: Stoch. Anal. Appl. Seiten: 163-190 Band: 32-1 Link zum Preprint

### The exit problem from the neighborhood of a global attractor for heavy-tailed Lévy diffusions

#### Autoren: M. Högele, I. Pavlyukevich (2014)

Zeitschrift:
Stoch. Anal. Appl.
Seiten:
163-190
Band:
32-1

2014 | Begriffsbildung zum Winkel in der Sek I: Auf der Suche nach Grundvorstellungen | Christian Dohrmann, Ana Kuzle Zeitschrift: Tagungsband der 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik Seiten: 301-304

### Begriffsbildung zum Winkel in der Sek I: Auf der Suche nach Grundvorstellungen

#### Autoren: Christian Dohrmann, Ana Kuzle (2014)

Zeitschrift:
Tagungsband der 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik
Seiten:
301-304

2014 | Reciprocal processes: A measure-theoretical point of view | C. Léonard, S. Roelly, J.C. Zambrini Zeitschrift: Probability Surveys Seiten: 237-269 Band: 11 Link zur Publikation, Link zum Preprint

### Reciprocal processes: A measure-theoretical point of view

#### Autoren: C. Léonard, S. Roelly, J.C. Zambrini (2014)

Zeitschrift:
Probability Surveys
Seiten:
237-269
Band:
11

2014 | Unpacking Children's Angle Grundvorstellungen: The Case of Distance “Grundvorstellung of 1° Angle | Ana Kuzle, Christian Dohrmann Zeitschrift: Proceedings of PME 38

### Unpacking Children's Angle Grundvorstellungen: The Case of Distance “Grundvorstellung of 1° Angle

#### Autoren: Ana Kuzle, Christian Dohrmann (2014)

Zeitschrift:
Proceedings of PME 38

2014 | Asymptotic Properties of Coupled Forward Backward Stochastic Differential Equations | A. B. Cruzeiro, A.Oliveira Gomes, L. Zhang Zeitschrift: Stoch. Dyn. Band: 14 Link zur Publikation

### Asymptotic Properties of Coupled Forward Backward Stochastic Differential Equations

#### Autoren: A. B. Cruzeiro, A.Oliveira Gomes, L. Zhang (2014)

Zeitschrift:
Stoch. Dyn.
Band:
14

2014 | Fermi verbindet - Die Fußball-WM 2014 in Brasilien und der Mathematikunterricht | Silke Fleckenstein Zeitschrift: Zeitschrift Grundschule Seiten: 15 - 20 Band: 2

### Fermi verbindet - Die Fußball-WM 2014 in Brasilien und der Mathematikunterricht

#### Autoren: Silke Fleckenstein (2014)

Zeitschrift:
Zeitschrift Grundschule
Seiten:
15 - 20
Band:
2

2014 | Transportation distance between the Lévy measures and stochastic equations for Lévy-type processes | T. Kosenkova, A. Kulik Zeitschrift: Modern Stochastics: Theory and Applications No 1, Vol. 1, (2014) Link zur Publikation

### Transportation distance between the Lévy measures and stochastic equations for Lévy-type processes

#### Autoren: T. Kosenkova, A. Kulik (2014)

Zeitschrift:
Modern Stochastics: Theory and Applications No 1, Vol. 1, (2014)

2014 | Mass endomorphism, surgery and perturbations | Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert Zeitschrift: Ann. Inst. Fourier Verlag: UJF Grenoble Seiten: 467-487 Band: 64, no. 2 Link zur Publikation, Link zum Preprint

### Mass endomorphism, surgery and perturbations

#### Autoren: Bernd Ammann, Mattias Dahl, Andreas Hermann, Emmanuel Humbert (2014)

We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.

Zeitschrift:
Ann. Inst. Fourier
Verlag:
UJF Grenoble
Seiten:
467-487
Band:
64, no. 2

2014 | Differential Characters and Geometric Chains | Christian Bär, Christian Becker Reihe: Lecture Notes in Mathematics Verlag: Springer Buchtitel: C. Bär, C. Becker: Differential Characters Seiten: 1-90 Band: 2112 Link zur Publikation, Link zum Preprint

### Differential Characters and Geometric Chains

#### Autoren: Christian Bär, Christian Becker (2014)

We study Cheeger-Simons differential characters and provide geometric descriptions of the ring structure and of the fiber integration map. The uniqueness of differential cohomology (up to unique natural transformation) is proved by deriving an explicit formula for any natural transformation between a differential cohomology theory and the model given by differential characters. Fiber integration for fibers with boundary is treated in the context of relative differential characters. As applications we treat higher-dimensional holonomy, parallel transport, and transgression.

Reihe:
Lecture Notes in Mathematics
Verlag:
Springer
Buchtitel:
C. Bär, C. Becker: Differential Characters
Seiten:
1-90
Band:
2112

2014 | Differential Characters | Christian Bär, Christian Becker Reihe: Lecture Notes in Mathematics Verlag: Springer Band: 2112 Link zur Publikation

### Differential Characters

#### Autoren: Christian Bär, Christian Becker (2014)

This text provides a systematic introduction to differential characters, as introduced by Cheeger and Simons. Differential characters form a model of what is nowadays called differential cohomology. In degree 2, integral cohomology of a space X classifies U(1)-bundles over X via the first Chern class, while differential characters correspond to U(1)-bundles with a connection. Similarly, in degree 3, integral cohomology classes classify gerbes over X while differential characters correspond to gerbes with additional geometric structure. We construct the product which provides differential cohomology with a ring structure and we describe the fiber integration map. In both cases, we show uniqueness in the sense that these operations are determined by certain natural axioms. This shows in particular that the various very different descriptions in the literature are equivalent. We present natural and explicit geometric formulas for both the product and the fiber integration map. The underlying space X may be more general than a finite-dimensional manifold. We allow for “smooth spaces” which contains loop spaces of manifolds, for instance. This is important for applications like the transgression map. Up to now, there does not exist much literature on the relative version of differential characters. We investigate them in detail. In degree 2, a relative differential character corresponds to a U(1)-bundle with connection and a section over a subspace. We derive long exact sequences which relate absolute and relative differential characters. Fiber integration for fibers with boundary is naturally considered in the relative framework. The module structure of relative differential cohomology over the ring of absolute differential characters is derived. We discuss various applications including chain field theories and higher dimensional holonomies which occur as actions in string theory.

Reihe:
Lecture Notes in Mathematics
Verlag:
Springer
Band:
2112

2014 | Relative differential cohomology | Christian Becker Reihe: Lecture Notes in Mathematics Verlag: Springer Buchtitel: C. Bär, C. Becker: Differential Characters Seiten: 91-180 Band: 2112 Link zur Publikation, Link zum Preprint

### Relative differential cohomology

#### Autoren: Christian Becker (2014)

We study two notions of relative differential cohomology, using the model of differential characters. The two notions arise from the two options to construct relative homology, either by cycles of a quotient complex or of a mapping cone complex. We discuss the relation of the two notions of relative differential cohomology to each other. We discuss long exact sequences for both notions, thereby clarifying their relation to absolute differential cohomology. We construct the external and internal product of relative and absolute characters and show that relative differential cohomology is a right module over the absolute differential cohomology ring. Finally we construct fiber integration and transgression for relative differential characters.

Reihe:
Lecture Notes in Mathematics
Verlag:
Springer
Buchtitel:
C. Bär, C. Becker: Differential Characters
Seiten:
91-180
Band:
2112

2014 | The subsemigroups of the full transformation semigroup T_n in the ideal K(n,2) satisfying x^k=x | Jörg Koppitz, Alexander Jende, Tiwadee Musunthia Zeitschrift: Asian Bulletin of Mathematics Seiten: 369-382 Band: 38

### The subsemigroups of the full transformation semigroup T_n in the ideal K(n,2) satisfying x^k=x

#### Autoren: Jörg Koppitz, Alexander Jende, Tiwadee Musunthia (2014)

Zeitschrift:
Asian Bulletin of Mathematics
Seiten:
369-382
Band:
38

2014 | Maximal subsemigroups containing a particular semigroup | Jörg Koppitz, Tiwadee Musunthia Zeitschrift: Mathematica Slovaca Seiten: 1369-1380 Band: 64/6

### Maximal subsemigroups containing a particular semigroup

#### Autoren: Jörg Koppitz, Tiwadee Musunthia (2014)

Zeitschrift:
Mathematica Slovaca
Seiten:
1369-1380
Band:
64/6

2014 | A Supermanifold structure on Spaces of Morphisms between Supermanifolds | Florian Hanisch Link zum Preprint

### A Supermanifold structure on Spaces of Morphisms between Supermanifolds

#### Autoren: Florian Hanisch (2014)

The aim of this work is the construction of a "supermanifold of morphisms X→Y", given two finite-dimensional supermanifolds X and Y. More precisely, we will define an object SC(X,Y) in the category of supermanifolds proposed by Molotkov and Sachse. Initially, it is given by the set-valued functor characterised by the adjunction formula Hom(PxX, Y) ≅ Hom(P, SC(X,Y)) where P ranges over all superpoints. We determine the structure of this functor in purely geometric terms: We show that it takes values in the set of certain differential operators and establish a bijective correspondence to the set of sections in certain vector bundles associated to X and Y. Equipping these spaces of sections with infinite-dimensional manifold structures using the convenient setting by Kriegl and Michor, we obtain at a supersmooth structure on SC(X,Y), i.e. a supermanifold of all morphisms X→Y.

2014 | Zero sets of eigenspinors for generic metrics | Andreas Hermann Zeitschrift: Comm. Anal. Geom. Verlag: International Press Seiten: 177-218 Band: 22, no. 2 Link zur Publikation, Link zum Preprint

### Zero sets of eigenspinors for generic metrics

#### Autoren: Andreas Hermann (2014)

Let M be a closed connected spin manifold of dimension 2 or 3 with a fixed orientation and a fixed spin structure. We prove that for a generic Riemannian metric on M the non-harmonic eigenspinors of the Dirac operator are nowhere zero. The proof is based on a transversality theorem and the unique continuation property of the Dirac operator.

Zeitschrift:
Comm. Anal. Geom.
Verlag:
International Press
Seiten:
177-218
Band:
22, no. 2

2014 | Agmon-type estimates for a class of jump processes | Markus Klein, Christian Leonard, Elke Rosenberger Zeitschrift: Mathematische Nachrichten Seiten: 2021 – 2039 Band: 287, Nr. 1 Link zur Publikation

### Agmon-type estimates for a class of jump processes

#### Autoren: Markus Klein, Christian Leonard, Elke Rosenberger (2014)

In the limit we analyze the generators of families of reversible jump processes in associated with a class of symmetric non-local Dirichlet-forms and show exponential decay of the eigenfunctions.

The exponential rate function is a Finsler distance, given as solution of a certain eikonal equation. Fine results are sensitive to the rate function being or just Lipschitz.
Our estimates are analogous to the semiclassical Agmon estimates for differential operators of second order. They generalize and strengthen previous results on the lattice .

Although our final interest is in the (sub)stochastic jump process, technically this is a pure analysis paper, inspired by PDE techniques.

Zeitschrift:
Mathematische Nachrichten
Seiten:
2021 – 2039
Band:
287, Nr. 1

2014 | Time asymptotics of exp(ith) for analytic matrices and analytic perturbation theory | Markus Klein, Juliane Rama Zeitschrift: Asymptotic Analysis Seiten: 189 – 233 Band: 89, Nr. 3-

### Time asymptotics of exp(ith) for analytic matrices and analytic perturbation theory

#### Autoren: Markus Klein, Juliane Rama (2014)

Zeitschrift:
Asymptotic Analysis
Seiten:
189 – 233
Band:
89, Nr. 3-

2014 | Vector Fields with a non-degenerate Source | Matthias Ludewig Zeitschrift: J. Geom. Phys. Verlag: Elsevier Seiten: 59-76 Band: 79 Link zur Publikation, Link zum Preprint

### Vector Fields with a non-degenerate Source

#### Autoren: Matthias Ludewig (2014)

We discuss the solution theory of operators of the form ∇X + A, acting on smooth sections of a vector bundle with connection ∇ over a manifold M, where X is a vector field having a critical point with positive linearization at some point p ∈ M. As an operator on a suitable space of smooth sections Γ(U, V), it fulfills a Fredholm alternative, and the same is true for the adjoint operator. Furthermore, we show that the solutions depend smoothly on the data ∇, X and A.

Zeitschrift:
J. Geom. Phys.
Verlag:
Elsevier
Seiten:
59-76
Band:
79

2014 | A Dark Sector Extension of the Almost-Commutative Standard Model | Christoph Stephan Zeitschrift: Int. J. Mod. Phys. A Verlag: World Scientific Seiten: Art. ID 1450005 Band: 29, no. 1 Link zur Publikation, Link zum Preprint

### A Dark Sector Extension of the Almost-Commutative Standard Model

#### Autoren: Christoph Stephan (2014)

We consider an extension of the Standard Model within the frame work of Noncommutative Geometry. The model is based on an older model [St09] which extends the Standard Model by new fermions, a new U(1)-gauge group and, crucially, a new scalar field which couples to the Higgs field. This new scalar field allows to lower the mass of the Higgs mass from ~170 GeV, as predicted by the Spectral Action for the Standard Model, to a value of 120-130 GeV. The short-coming of the previous model lay in its inability to meet all the constraints on the gauge couplings implied by the Spectral Action. These shortcomings are cured in the present model which also features a "dark sector" containing fermions and scalar particles.

Zeitschrift:
Int. J. Mod. Phys. A
Verlag:
World Scientific
Seiten:
Art. ID 1450005
Band:
29, no. 1

2014 | Decontamination of mutually contaminated models | Blanchard, G., Scott, C, Zeitschrift: AISTATS 2014 Verlag: JMLR Workshop and Conference Proceedings Seiten: 1-9 Band: 33

### Decontamination of mutually contaminated models

#### Autoren: Blanchard, G., Scott, C, (2014)

Zeitschrift:
AISTATS 2014
Verlag:
JMLR Workshop and Conference Proceedings
Seiten:
1-9
Band:
33

2014 | Testing over a continuum of null hypotheses with False Discovery Rate control | Blanchard, G., Delattre, S., Roquain, E. Zeitschrift: Bernoulli Verlag: Bernoulli Society for Mathematical Statistics and Probability Seiten: 304-333 Band: 20

### Testing over a continuum of null hypotheses with False Discovery Rate control

#### Autoren: Blanchard, G., Delattre, S., Roquain, E. (2014)

Zeitschrift:
Bernoulli
Verlag:
Bernoulli Society for Mathematical Statistics and Probability
Seiten:
304-333
Band:
20

2014 | Localized Complexities for Transductive Learning | Tolstikhin, I., Blanchard, G., Kloft, M. Zeitschrift: COLT 2014 Verlag: JMLR Workshop and Conference Proceedings Seiten: 857-884 Band: 35

### Localized Complexities for Transductive Learning

#### Autoren: Tolstikhin, I., Blanchard, G., Kloft, M. (2014)

Zeitschrift:
COLT 2014
Verlag:
JMLR Workshop and Conference Proceedings
Seiten:
857-884
Band:
35

2014 | The f-Adjusted Graph Laplacian: a Diagonal Modification with a Geometric Interpretation | Kurras, S., Luxburg, U., Blanchard, G. Zeitschrift: ICML 2014 Verlag: JMLR Workshop and Conference Proceedings Seiten: 1530-1538 Band: 32

### The f-Adjusted Graph Laplacian: a Diagonal Modification with a Geometric Interpretation

#### Autoren: Kurras, S., Luxburg, U., Blanchard, G. (2014)

Zeitschrift:
ICML 2014
Verlag:
JMLR Workshop and Conference Proceedings
Seiten:
1530-1538
Band:
32

2014 | On least favorable configurations for step-up-down tests | Blanchard, G., Dickhaus, T., Roquain, E., Villers, F. Zeitschrift: Statistica Sinica Verlag: International Chinese Statistical Association Seiten: 1-23 Band: 24

### On least favorable configurations for step-up-down tests

#### Autoren: Blanchard, G., Dickhaus, T., Roquain, E., Villers, F. (2014)

Zeitschrift:
Statistica Sinica
Verlag:
International Chinese Statistical Association
Seiten:
1-23
Band:
24

2014 | Decannulation of critically ill patients after long-term mechanical ventilation - predictors from clinical routine data | Maria-Dorothea Heidler, Annett salzwedel, Hannelore Liero, Michael Jöbges, Heinz Völler Zeitschrift: Advances in Rehabilitation Verlag: Wydawnictwo AWF Warszawa Seiten: 5--11 Band: 28--3

### Decannulation of critically ill patients after long-term mechanical ventilation - predictors from clinical routine data

#### Autoren: Maria-Dorothea Heidler, Annett salzwedel, Hannelore Liero, Michael Jöbges, Heinz Völler (2014)

Zeitschrift:
Verlag:
Wydawnictwo AWF Warszawa
Seiten:
5--11
Band:
28--3

2013 | Spectrum of Lebesgue Measure Zero for Jacobi Matrices of Quasicrystals | Siegfried Beckus, Felix Pogorzelski Zeitschrift: Mathematical Physics, Analysis and Geometry Reihe: 16 Seiten: 289 -308 Link zur Publikation, Link zum Preprint

### Spectrum of Lebesgue Measure Zero for Jacobi Matrices of Quasicrystals

#### Autoren: Siegfried Beckus, Felix Pogorzelski (2013)

We study one-dimensional random Jacobi operators corresponding to strictly ergodic dynamical systems. We characterize the spectrum of these operators via non-uniformity of the transfer matrices and vanishing of the Lyapunov exponent. For aperiodic, minimal subshifts satisfying the so-called Boshernitzan condition this gives that the spectrum is supported on a Cantor set with Lebesgue measure zero. This generalizes earlier results for Schrödinger operators.

Zeitschrift:
Mathematical Physics, Analysis and Geometry
Reihe:
16
Seiten:
289 -308

2013 | Category Equivalences of Clones of Operations Preserving Unary Operations | Koppitz, J. and Supaporn, W. Zeitschrift: Comptes rendus de l´Acadèmie bulgare des Sciences Band: 66 no. 2

### Category Equivalences of Clones of Operations Preserving Unary Operations

#### Autoren: Koppitz, J. and Supaporn, W. (2013)

Zeitschrift:
Comptes rendus de l´Acadèmie bulgare des Sciences
Band:
66 no. 2

2013 | Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids | Karpuz, E.G., Cevik, A.S., Koppitz, J. and Cangul, I.N. Zeitschrift: Fixed Point Theory Appl. Link zur Publikation

### Some fixed-point results on (generalized) Bruck-Reilly *-extensions of monoids

#### Autoren: Karpuz, E.G., Cevik, A.S., Koppitz, J. and Cangul, I.N. (2013)

Zeitschrift:
Fixed Point Theory Appl.

2013 | Willmore flow of surfaces in Riemannian spaces I: Concentration-compactness | J. Metzger, G. Wheeler, and V.-M. Wheeler Link zum Preprint

### Willmore flow of surfaces in Riemannian spaces I: Concentration-compactness

#### Autoren: J. Metzger, G. Wheeler, and V.-M. Wheeler (2013)

In this paper we study the local regularity of closed surfaces immersed in a Riemannian 3-manifold flowing by Willmore flow. We establish a pair of concentration-compactness alternatives for the flow, giving a lower bound on the maximal time of existence of the flow proportional to the concentration of the curvature and area at initial time. The estimate from the first theorem is purely in terms of the concentration of curvature at initial time but applies only to ambient spaces with non-positive sectional curvature. The second requires additional information on the concentration of area at initial time but applies in more general background spaces. Applications of these results shall appear in forthcoming work.

2013 | Square roots of perturbed subelliptic operators on Lie groups | Lashi Bandara, A. F. M. ter Elst, Alan McIntosh Zeitschrift: Studia Math. Seiten: 193-217 Band: 216, no. 3 Link zur Publikation, Link zum Preprint

### Square roots of perturbed subelliptic operators on Lie groups

#### Autoren: Lashi Bandara, A. F. M. ter Elst, Alan McIntosh (2013)

We solve the Kato square root problem for bounded measurable perturbations of subelliptic operators on connected Lie groups. The subelliptic operators are divergence form operators with complex bounded coefficients, which may have lower order terms. In this general setting we deduce inhomogeneous estimates. In case the group is nilpotent and the subelliptic operator is pure second order, then we prove stronger homogeneous estimates. Furthermore, we prove Lipschitz stability of the estimates under small perturbations of the coefficients.

Zeitschrift:
Studia Math.
Seiten:
193-217
Band:
216, no. 3

2013 | Harmonic functions of general graph Laplacians | Bobo Hua, Matthias Keller Zeitschrift: Calculus of Variations and Partial Differential Equations Seiten: 343-362 Band: 51 Link zur Publikation, Link zum Preprint

### Harmonic functions of general graph Laplacians

#### Autoren: Bobo Hua, Matthias Keller (2013)

We study harmonic functions on general weighted graphs which allow for a compatible intrinsic metric. We prove an $$L^{p}$$ Liouville type theorem which is a quantitative integral $$L^{p}$$ estimate of harmonic functions analogous to Karp’s theorem for Riemannian manifolds. As corollaries we obtain Yau’s $$L^{p}$$-Liouville type theorem on graphs, identify the domain of the generator of the semigroup on $$L^{p}$$ and get a criterion for recurrence. As a side product, we show an analogue of Yau’s $$L^{p}$$ Caccioppoli inequality. Furthermore, we derive various Liouville type results for harmonic functions on graphs and harmonic maps from graphs into Hadamard spaces.

Zeitschrift:
Calculus of Variations and Partial Differential Equations
Seiten:
343-362
Band:
51

2013 | On the l^p spectrum of Laplacians on graphs | Frank Bauer, Bobo Hua, Matthias Keller Zeitschrift: Advances in Mathematics Seiten: 717–735 Band: 248 Link zur Publikation, Link zum Preprint

### On the l^p spectrum of Laplacians on graphs

#### Autoren: Frank Bauer, Bobo Hua, Matthias Keller (2013)

We study the p-independence of spectra of Laplace operators on graphs arising from regular Dirichlet forms on discrete spaces. Here, a sufficient criterion is given solely by a uniform subexponential growth condition. Moreover, under a mild assumption on the measure we show a one-sided spectral inclusion without any further assumptions. We study applications to normalized Laplacians including symmetries of the spectrum and a characterization for positivity of the Cheeger constant. Furthermore, we consider Laplacians on planar tessellations for which we relate the spectral p-independence to assumptions on the curvature.

Zeitschrift:
Seiten:
717–735
Band:
248

2013 | Volume growth and bounds for the essential spectrum for Dirichlet forms | Sebastian Haeseler, Matthias Keller, Radoslaw Wojciechowski Zeitschrift: Journal of the London Mathematical Society Seiten: 883-898 Band: 88 Link zur Publikation, Link zum Preprint

### Volume growth and bounds for the essential spectrum for Dirichlet forms

#### Autoren: Sebastian Haeseler, Matthias Keller, Radoslaw Wojciechowski (2013)

We consider operators arising from regular Dirichlet forms with vanishing killing term. We give bounds for the bottom of the (essential) spectrum in terms of exponential volume growth with respect to an intrinsic metric. As special cases, we discuss operators on graphs. When the volume growth is measured in the natural graph distance (which is not an intrinsic metric), we discuss the threshold for positivity of the bottom of the spectrum and finiteness of the bottom of the essential spectrum of the (unbounded) graph Laplacian. This threshold is shown to lie at cubic polynomial growth.

Zeitschrift:
Journal of the London Mathematical Society
Seiten:
883-898
Band:
88

2013 | Spectral Analysis of Certain Spherically Homogeneous Graphs | Jonathan Breuer, Matthias Keller Zeitschrift: Operators and Matrices Seiten: 825-847 Band: 7 Link zur Publikation, Link zum Preprint

### Spectral Analysis of Certain Spherically Homogeneous Graphs

#### Autoren: Jonathan Breuer, Matthias Keller (2013)

We study operators on rooted graphs with a certain spherical homogeneity. These graphs are called path commuting and allow for a decomposition of the adjacency matrix and the Laplacian into a direct sum of Jacobi matrices which reflect the structure of the graph. Thus, the spectral properties of the adjacency matrix and the Laplacian can be analyzed by means of the elaborated theory of Jacobi matrices. For some examples which include antitrees, we derive the decomposition explicitly and present a zoo of spectral behavior induced by the geometry of the graph. In particular, these examples show that spectral types are not at all stable under rough isometries.

Zeitschrift:
Operators and Matrices
Seiten:
825-847
Band:
7

2013 | A note on self-adjoint extensions of the Laplacian on weighted graphs | Xueping Huang, Matthias Keller, Jun Masamune, Radoslaw Wojciechowski Zeitschrift: Journal of Functional Analysis Seiten: 1556-1578 Band: 265 Link zur Publikation, Link zum Preprint

### A note on self-adjoint extensions of the Laplacian on weighted graphs

#### Autoren: Xueping Huang, Matthias Keller, Jun Masamune, Radoslaw Wojciechowski (2013)

We study the uniqueness of self-adjoint and Markovian exten

sions of the Laplacian

on weighted graphs. We first show that, for locally finite grap

hs and a certain family of metrics,

completeness of the graph implies uniqueness of these exten

sions. Moreover, in the case when the

graph is not metrically complete and the Cauchy boundary has

finite capacity, we characterize

the uniqueness of the Markovian extensions

Zeitschrift:
Journal of Functional Analysis
Seiten:
1556-1578
Band:
265

2013 | On the spectral theory of trees with finite cone type | Matthias Keller, Daniel Lenz, Simone Warzel Zeitschrift: Israel Journal of Mathematics Seiten: 107-135 Band: 194 Link zur Publikation, Link zum Preprint

### On the spectral theory of trees with finite cone type

#### Autoren: Matthias Keller, Daniel Lenz, Simone Warzel (2013)

We study basic spectral features of graph Laplacians associated with a class of rooted trees which contains all regular trees. Trees in this class can be generated by substitution processes. Their spectra are shown to be purely absolutely continuous and to consist of finitely many bands. The main result gives stability of the absolutely continuous spectrum under sufficiently small radially label symmetric perturbations for non-regular trees in this class. In sharp contrast, the absolutely continuous spectrum can be completely destroyed by arbitrary small radially label symmetric perturbations for regular trees in this class.

Zeitschrift:
Israel Journal of Mathematics
Seiten:
107-135
Band:
194

2013 | On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators | Moritz Gerlach Zeitschrift: Positivity Seiten: 875–898 Band: 17 Link zur Publikation, Link zum Preprint

### On the peripheral point spectrum and the asymptotic behavior of irreducible semigroups of Harris operators

#### Autoren: Moritz Gerlach (2013)

Given a positive, irreducible and bounded C_0-semigroup on a Banach lattice with order continuous norm, we prove that the peripheral point spectrum of its generator is trivial whenever one of its operators dominates a non-trivial compact or kernel operator. For a discrete semigroup, i.e. for powers of a single operator T, we show that the point spectrum of some power T^k intersects the unit circle at most in 1. As a consequence, we obtain a sufficient condition for strong convergence of the C_0-semigroup and for a subsequence of the powers of T, respectively.

Zeitschrift:
Positivity
Seiten:
875–898
Band:
17

2013 | Quantum field theories on affine bundles | Marco Benini, Claudio Dappiaggi, Alexander Schenkel Zeitschrift: Ann. Henri Poincaré Verlag: Springer Seiten: 171-211 Band: 15, no. 1 Link zur Publikation, Link zum Preprint

### Quantum field theories on affine bundles

#### Autoren: Marco Benini, Claudio Dappiaggi, Alexander Schenkel (2013)

We develop a general framework for the quantization of bosonic and fermionic field theories on affine bundles over arbitrary globally hyperbolic spacetimes. All concepts and results are formulated using the language of category theory, which allows us to prove that these models satisfy the principle of general local covariance. Our analysis is a preparatory step towards a full-fledged quantization scheme for the Maxwell field, which emphasises the affine bundle structure of the bundle of principal U(1)-connections. As a by-product, our construction provides a new class of exactly tractable locally covariant quantum field theories, which are a mild generalization of the linear ones. We also show the existence of a functorial assignment of linear quantum field theories to affine ones. The identification of suitable algebra homomorphisms enables us to induce whole families of physical states (satisfying the microlocal spectrum condition) for affine quantum field theories by pulling back quasi-free Hadamard states of the underlying linear theories.

Zeitschrift:
Ann. Henri Poincaré
Verlag:
Springer
Seiten:
171-211
Band:
15, no. 1

2013 | Quantum field theory on curved backgrounds - A primer | Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack Zeitschrift: Int. J. Mod. Phys. A Verlag: World Scientific Seiten: Art. ID: 1330023 Link zur Publikation, Link zum Preprint

### Quantum field theory on curved backgrounds - A primer

#### Autoren: Marco Benini, Claudio Dappiaggi, Thomas-Paul Hack (2013)

Goal of this review is to introduce the algebraic approach to quantum field theory on curved backgrounds. Based on a set of axioms, first written down by Haag and Kastler, this method consists of a two-step procedure. In the first one, a suitable algebra of observables is assigned to a physical system, which is meant to encode all algebraic relations among observables, such as commutation relations, while, in the second step, one must select an algebraic state in order to recover the standard Hilbert space interpretation of a quantum system. As quantum field theories possess infinitely many degrees of freedom, many unitarily inequivalent Hilbert space representations exist and the power of such approach is the ability to treat them all in a coherent manner. We will discuss in detail the algebraic approach for free fields in order to give to the reader all necessary information to deal with the recent literature, which focuses on the applications to specific problems, mostly in cosmology.

Zeitschrift:
Int. J. Mod. Phys. A
Verlag:
World Scientific
Seiten:
Art. ID: 1330023

2013 | The maximum earthquake magnitude in a time horizon: Theory and case studies | Gert Zöller, Sebastian Hainzl, Matthias Holschneider Zeitschrift: Bull. Seismol. Soc. Am. Verlag: Seismological Society of America Seiten: 860-875 Band: 103 Link zur Publikation

### The maximum earthquake magnitude in a time horizon: Theory and case studies

#### Autoren: Gert Zöller, Sebastian Hainzl, Matthias Holschneider (2013)

Zeitschrift:
Bull. Seismol. Soc. Am.
Verlag:
Seismological Society of America
Seiten:
860-875
Band:
103

2013 | Comparison of deterministic and stochastic earthquake simulators for fault interactions in the Lower Rhine Embayment, Germany | Gert Zöller, Sebastian Hainzl, Gilbert Brietzke, Klaus-G. Hinzen Zeitschrift: Geophys. J. Int. Verlag: Oxford Journals Seiten: 684-694 Band: 195 Link zur Publikation

### Comparison of deterministic and stochastic earthquake simulators for fault interactions in the Lower Rhine Embayment, Germany

#### Autoren: Gert Zöller, Sebastian Hainzl, Gilbert Brietzke, Klaus-G. Hinzen (2013)

Zeitschrift:
Geophys. J. Int.
Verlag:
Oxford Journals
Seiten:
684-694
Band:
195

2013 | Convergence of the frequency-magnitude distribution of global earthquakes: Maybe in 200 years | Gert Zöller Zeitschrift: Geophys. Res. Lett. Verlag: American Geophysical Union Seiten: 3873-3877 Band: 40 Link zur Publikation

### Convergence of the frequency-magnitude distribution of global earthquakes: Maybe in 200 years

#### Autoren: Gert Zöller (2013)

Zeitschrift:
Geophys. Res. Lett.
Verlag:
American Geophysical Union
Seiten:
3873-3877
Band:
40

2013 | Untersuchung des hydrostatischen Drucks beim Halten eines Melkbechers | Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer Zeitschrift: "Inproceedings:""Bau, Technik und Umwelt in der landwirtschaftlichen Nutztierhaltung""" Seiten: 426-431 Band: 11

### Untersuchung des hydrostatischen Drucks beim Halten eines Melkbechers

#### Autoren: Toni Luhdo, Ulrich Ströbel, Sandra Rose-Meierhöfer (2013)

Zeitschrift:
"Inproceedings:""Bau, Technik und Umwelt in der landwirtschaftlichen Nutztierhaltung"""
Seiten:
426-431
Band:
11

2013 | Matrix methods for computing eigenvalues of Sturm–Liouville problems of order four | A. Rattana, C. Böckmann Zeitschrift: Journal of Computational and Applied Mathematics Seiten: 144-156 Band: 249 Link zur Publikation

### Matrix methods for computing eigenvalues of Sturm–Liouville problems of order four

#### Autoren: A. Rattana, C. Böckmann (2013)

Zeitschrift:
Journal of Computational and Applied Mathematics
Seiten:
144-156
Band:
249

2013 | Regularized Inversion of Microphysical Atmospheric Particle Parameters: Theory and Application | L. Osterloh, C. Böckmann, D. Nicolae, A. Nemuc Zeitschrift: Journal of Computational Physics Seiten: 79-94 Band: 237 Link zur Publikation

### Regularized Inversion of Microphysical Atmospheric Particle Parameters: Theory and Application

#### Autoren: L. Osterloh, C. Böckmann, D. Nicolae, A. Nemuc (2013)

Zeitschrift:
Journal of Computational Physics
Seiten:
79-94
Band:
237

2013 | A geometric perspective on counterterms related to Dyson-Schwinger equations | A. Shojaei-Fard Zeitschrift: International Journal of Modern Physics A Reihe: Vol. 28, No. 32 Seiten: pages 1350170-1 to 1350170-15

### A geometric perspective on counterterms related to Dyson-Schwinger equations

#### Autoren: A. Shojaei-Fard (2013)

Zeitschrift:
International Journal of Modern Physics A
Reihe:
Vol. 28, No. 32
Seiten:
pages 1350170-1 to 1350170-15

2013 | A note on Muskhelishvili-Vekua reduction | S. Grudsky and N. Tarkhanov Zeitschrift: In: Complex Analysis and Dynamical systems, Contemporary Mathematics Reihe: Vol. 591 Verlag: Amer. Math. Soc., Providence, RI Seiten: 113—126

### A note on Muskhelishvili-Vekua reduction

#### Autoren: S. Grudsky and N. Tarkhanov (2013)

Zeitschrift:
In: Complex Analysis and Dynamical systems, Contemporary Mathematics
Reihe:
Vol. 591
Verlag:
Amer. Math. Soc., Providence, RI
Seiten:
113—126

2013 | Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary | S. Grudsky and N. Tarkhanov Zeitschrift: Mathematical Sciences 7 Reihe: no. 14 Seiten: 1—52

### Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary

#### Autoren: S. Grudsky and N. Tarkhanov (2013)

Zeitschrift:
Mathematical Sciences 7
Reihe:
no. 14
Seiten:
1—52

2013 | Degeneration of boundary layer at singular points | E. Dyachenko and N. Tarkhanov, Zeitschrift: Mathematics and Physics 6

### Degeneration of boundary layer at singular points

#### Autoren: E. Dyachenko and N. Tarkhanov, (2013)

Zeitschrift:
Mathematics and Physics 6

2013 | Holomorphic operator families on a manifold with edge | W. Rungrotheera and B.-W. Schulze Zeitschrift: J. Pseudo-Differ. Oper. Appl. textbf{4}, 3 Seiten: 297-315

### Holomorphic operator families on a manifold with edge

#### Autoren: W. Rungrotheera and B.-W. Schulze (2013)

Zeitschrift:
J. Pseudo-Differ. Oper. Appl. textbf{4}, 3
Seiten:
297-315

2013 | Mellin quantisation in corner operators | N. Habal a Zeitschrift: Operator Theory, Advances and Applications Reihe: Vol. 228 Verlag: Birkhäuser, Basel Seiten: pp. 151-172

### Mellin quantisation in corner operators

#### Autoren: N. Habal a (2013)

Zeitschrift:
Reihe:
Vol. 228
Verlag:
Birkhäuser, Basel
Seiten:
pp. 151-172

2013 | Motivic Dyson-Schwinger equations | Ali Shojaei-Fard Zeitschrift: International Journal of Modern Physics A Reihe: Vol. 28 Verlag: No. 20 Seiten: 1350102 (19 pages)

### Motivic Dyson-Schwinger equations

#### Autoren: Ali Shojaei-Fard (2013)

Zeitschrift:
International Journal of Modern Physics A
Reihe:
Vol. 28
Verlag:
No. 20
Seiten:
1350102 (19 pages)

2013 | On completeness of root functions of Sturm–Liouville problems with discontinuous boundary operators | A. Shlapunov and N. Tarkhanov Zeitschrift: J. Differential Equations 255 Seiten: 3305—3337

### On completeness of root functions of Sturm–Liouville problems with discontinuous boundary operators

#### Autoren: A. Shlapunov and N. Tarkhanov (2013)

Zeitschrift:
J. Differential Equations 255
Seiten:
3305—3337

2013 | Parameter-dependent corner operators | W. Rungrotheera Zeitschrift: Asian-Eur. J. Math. 6 Seiten: 1--29

### Parameter-dependent corner operators

#### Autoren: W. Rungrotheera (2013)

Zeitschrift:
Asian-Eur. J. Math. 6
Seiten:
1--29

2013 | A non-parametric ensemble transform method for Bayesian inference | S. Reich Zeitschrift: SIAM J Sci Comput Seiten: A2013-A2014 Band: 35 Link zur Publikation

### A non-parametric ensemble transform method for Bayesian inference

#### Autoren: S. Reich (2013)

Zeitschrift:
SIAM J Sci Comput
Seiten:
A2013-A2014
Band:
35

2013 | Paths towards an extension of Chern-Weil calculus to a class of infinite dimensional vector bundles | S. Paycha Zeitschrift: in Geometric and Topological Methodsfor Quantum Field Theory Verlag: Cambridge University Press Seiten: 81-139

### Paths towards an extension of Chern-Weil calculus to a class of infinite dimensional vector bundles

#### Autoren: S. Paycha (2013)

Zeitschrift:
in Geometric and Topological Methodsfor Quantum Field Theory
Verlag:
Cambridge University Press
Seiten:
81-139

2013 | Ensemble filter techniques for intermittent data assimilation | C.J. Cotter, S. Reich Reihe: Radon Ser. Comput. Appl. Math. Verlag: Walter de Gruyter Verlag Seiten: 91-134 Band: 13 Link zur Publikation

### Ensemble filter techniques for intermittent data assimilation

#### Autoren: C.J. Cotter, S. Reich (2013)

Reihe:
Verlag:
Walter de Gruyter Verlag
Seiten:
91-134
Band:
13

2013 | Quantisation on a manifold with singular edge | D.-C. Chang, N. Habal, and B.-W. Schulze Zeitschrift: J. Pseudo-Differ Oper Appl. 4 Seiten: 317-343

### Quantisation on a manifold with singular edge

#### Autoren: D.-C. Chang, N. Habal, and B.-W. Schulze (2013)

Zeitschrift:
J. Pseudo-Differ Oper Appl. 4
Seiten:
317-343

2013 | A guided sequential Monte Carlo method for the assimilation of data into stochastic dynamical systems. | S. Reich Zeitschrift: Springer Proceedings in Mathematics and Statistics Seiten: 205-220 Band: B 35 Link zur Publikation

### A guided sequential Monte Carlo method for the assimilation of data into stochastic dynamical systems.

#### Autoren: S. Reich (2013)

Zeitschrift:
Springer Proceedings in Mathematics and Statistics
Seiten:
205-220
Band:
B 35

2013 | The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary | A. Antoniouk and N. Tarkhanov Zeitschrift: In: Operator Theory: Advances and Applications Reihe: Vol. 228 Verlag: Springer, Basel AG Seiten: 1—20

### The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary

#### Autoren: A. Antoniouk and N. Tarkhanov (2013)

Zeitschrift:
In: Operator Theory: Advances and Applications
Reihe:
Vol. 228
Verlag:
Springer, Basel AG
Seiten:
1—20

2013 | The global beta- functions from solutions of Dyson-Schwinger equations | Ali Shojaei-Fard Zeitschrift: Modern Physics Letters A Reihe: Vol. 28 Seiten: 1350152 (12 pages)

### The global beta- functions from solutions of Dyson-Schwinger equations

#### Autoren: Ali Shojaei-Fard (2013)

Zeitschrift:
Modern Physics Letters A
Reihe:
Vol. 28
Seiten:
1350152 (12 pages)

2013 | The Mellin-edge quantisation for corner operators | B.-W. Schulze and Y. Wei Zeitschrift: Complex Analysis and Operator Theory Seiten: 10.1007/s11785-013-0289-3

### The Mellin-edge quantisation for corner operators

#### Autoren: B.-W. Schulze and Y. Wei (2013)

Zeitschrift:
Complex Analysis and Operator Theory
Seiten:
10.1007/s11785-013-0289-3

2013 | The method of Fischer-Riesz equations for elliptic boundary value problems | A. Alsaedy and N. Tarkhanov Zeitschrift: Journal of Complex Analysis 1 Reihe: Issue 1 Seiten: 1—11

### The method of Fischer-Riesz equations for elliptic boundary value problems

#### Autoren: A. Alsaedy and N. Tarkhanov (2013)

Zeitschrift:
Journal of Complex Analysis 1
Reihe:
Issue 1
Seiten:
1—11

2013 | What is a quantum equation of motion? | Ali Shojaei-Fard Zeitschrift: Electronic Journal of Theoretical Physics Reihe: Vol. 10, No. 28

### What is a quantum equation of motion?

#### Autoren: Ali Shojaei-Fard (2013)

Zeitschrift:
Electronic Journal of Theoretical Physics
Reihe:
Vol. 10, No. 28

2013 | Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions | Michael Eichmair and Jan Metzger Zeitschrift: Invent. Math. Seiten: 591-630 Band: 194 Link zur Publikation

### Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions

#### Autoren: Michael Eichmair and Jan Metzger (2013)

Zeitschrift:
Invent. Math.
Seiten:
591-630
Band:
194

2013 | Large isoperimetric surfaces in asymptotically flat manifolds | Michael Eichmair and Jan Metzger Zeitschrift: J. Differential Geom. Seiten: 159-186 Band: 94 Link zur Publikation

### Large isoperimetric surfaces in asymptotically flat manifolds

#### Autoren: Michael Eichmair and Jan Metzger (2013)

Zeitschrift:
J. Differential Geom.
Seiten:
159-186
Band:
94

2013 | Minimizers of the Willmore functional with a small area constraint | Tobias Lamm and Jan Metzger Zeitschrift: Annales de l’Institut Henri Poincaré / Analyse non linéaire Seiten: 497-518 Band: 30 Link zur Publikation

### Minimizers of the Willmore functional with a small area constraint

#### Autoren: Tobias Lamm and Jan Metzger (2013)

Zeitschrift:
Annales de l’Institut Henri Poincaré / Analyse non linéaire
Seiten:
497-518
Band:
30

2013 | Logik, Gesellschaft, Mathematik | David Kollosche Buchtitel: Rathgeb; Helmerich; Krömer; Lengnink & Nickel (Hg.) Mathematik im Prozess. Philosophische, historische und didaktische Perspektiven.

### Logik, Gesellschaft, Mathematik

#### Autoren: David Kollosche (2013)

Buchtitel:
Rathgeb; Helmerich; Krömer; Lengnink & Nickel (Hg.) Mathematik im Prozess. Philosophische, historische und didaktische Perspektiven.

2013 | Evolutive two-level population process and large population approximations | S. Méléard, S. Roelly Zeitschrift: Ann. Univ. Bucharest Seiten: 37-70 Band: 4 Link zur Publikation, Link zum Preprint

### Evolutive two-level population process and large population approximations

#### Autoren: S. Méléard, S. Roelly (2013)

Zeitschrift:
Ann. Univ. Bucharest
Seiten:
37-70
Band:
4

2013 | Characterization of infinite divisibility by duality formulas. Application to Lévy processes and random measures | R. Murr Zeitschrift: Stoch. Proc. Appl. Seiten: 1729-1749 Band: 123-5 Link zur Publikation

### Characterization of infinite divisibility by duality formulas. Application to Lévy processes and random measures

#### Autoren: R. Murr (2013)

Zeitschrift:
Stoch. Proc. Appl.
Seiten:
1729-1749
Band:
123-5

2013 | Logic, Society and School Mathematics | David Kollosche Buchtitel: Ubuz; Haser & Mariotto (Hg.) Proceedings of the 8th Congress of the European Society for Research in Mathematics Education

### Logic, Society and School Mathematics

#### Autoren: David Kollosche (2013)

Buchtitel:
Ubuz; Haser & Mariotto (Hg.) Proceedings of the 8th Congress of the European Society for Research in Mathematics Education

2013 | Reciprocal processes: a stochastic analysis approach | S. Roelly Reihe: Springer Optimization and Its Applications Verlag: Springer Buchtitel: Modern Stochastics and Applications Seiten: 53-67 Band: 90 Link zur Publikation, Link zum Preprint

### Reciprocal processes: a stochastic analysis approach

#### Autoren: S. Roelly (2013)

Reihe:
Springer Optimization and Its Applications
Verlag:
Springer
Buchtitel:
Modern Stochastics and Applications
Seiten:
53-67
Band:
90

2013 | On the construction of point processes in statistical mechanics. | B. Nehring, S. Poghosyan, H. Zessin Zeitschrift: J. Math. Phys. Band: 54-6 Link zur Publikation

### On the construction of point processes in statistical mechanics.

#### Autoren: B. Nehring, S. Poghosyan, H. Zessin (2013)

Zeitschrift:
J. Math. Phys.
Band:
54-6

2013 | The dynamics of nonlinear reaction-diffusion equations with small Lévy noise. | A. Debussche,M. Högele, P. Imkeller Reihe: LNM 2085 Verlag: Springer Link zum Preprint

### The dynamics of nonlinear reaction-diffusion equations with small Lévy noise.

#### Autoren: A. Debussche,M. Högele, P. Imkeller (2013)

Reihe:
LNM 2085
Verlag:
Springer

2013 | On the construction of point processes for classical and quantum gases | B. Nehring Zeitschrift: J. Maths. Phys. Band: 54-5 Link zur Publikation

### On the construction of point processes for classical and quantum gases

#### Autoren: B. Nehring (2013)

Zeitschrift:
J. Maths. Phys.
Band:
54-5

2013 | The Pólya Sum Process: Limit Theorems for Conditioned Random Fields | M. Rafler Zeitschrift: J. Theor. Probab. Seiten: 1097-1116 Band: 26 Link zur Publikation

### The Pólya Sum Process: Limit Theorems for Conditioned Random Fields

#### Autoren: M. Rafler (2013)

Zeitschrift:
J. Theor. Probab.
Seiten:
1097-1116
Band:
26

2013 | Begriffsbildung im Mathematikunterricht der Sek I zum Thema Winkel | Christian Dohrmann, Ana Kuzle Zeitschrift: Tagungsband des GDM-Arbeitskreises Geometrie 2012 Link zur Publikation

### Begriffsbildung im Mathematikunterricht der Sek I zum Thema Winkel

#### Autoren: Christian Dohrmann, Ana Kuzle (2013)

Zeitschrift:
Tagungsband des GDM-Arbeitskreises Geometrie 2012

2013 | Past-Present-Future: Winkel anschaulich unterrichten! | Christian Dohrmann, Ana Kuzle Zeitschrift: Tagungsband der 47. Jahrestagung der Gesellschaft für Didaktik der Mathematik Link zur Publikation

### Past-Present-Future: Winkel anschaulich unterrichten!

#### Autoren: Christian Dohrmann, Ana Kuzle (2013)

Zeitschrift:
Tagungsband der 47. Jahrestagung der Gesellschaft für Didaktik der Mathematik

2013 | Second order rectifiability of integral varifolds of locally bounded first variation | Ulrich Menne Zeitschrift: J. Geom. Anal. Seiten: 709-763 Band: 23(2) Link zur Publikation, Link zum Preprint

### Second order rectifiability of integral varifolds of locally bounded first variation

#### Autoren: Ulrich Menne (2013)

It is shown that every integral varifold in an open subset of Euclidean space whose first variation with respect to area is representable by integration can be covered by a countable collection of submanifolds of the same dimension of class 2 and that their mean curvature agrees almost everywhere with the variationally defined generalized mean curvature of the varifold.

Zeitschrift:
J. Geom. Anal.
Seiten:
709-763
Band:
23(2)

2013 | Strong Markov approximation of Lévy processes and their generalizations in a scheme of series | T. Kosenkova Zeitschrift: Theory of Probability and Mathematical Statistics 86 (2013) Link zur Publikation

### Strong Markov approximation of Lévy processes and their generalizations in a scheme of series

#### Autoren: T. Kosenkova (2013)

Zeitschrift:
Theory of Probability and Mathematical Statistics 86 (2013)

2013 | Some fixed points results on (Generalized Bruck-Reilly *-extensions of monoids | Cevik, A.S., Karpuz, E.G., Koppitz J., I.N. Cangul Zeitschrift: Fixed Point theory and Applications Seiten: DOI 10.1186/1687-1812-2013-78 Band: 78

### Some fixed points results on (Generalized Bruck-Reilly *-extensions of monoids

#### Autoren: Cevik, A.S., Karpuz, E.G., Koppitz J., I.N. Cangul (2013)

Zeitschrift:
Fixed Point theory and Applications
Seiten:
DOI 10.1186/1687-1812-2013-78
Band:
78

2013 | Category Equivalences of Clones of Operations Preserving Unary Operations | Jörk Koppitz, Worakrit Supaprorn Zeitschrift: Comptes rendus de l´Acadèmie bulgare des Sciences Seiten: 177-184 Band: 66/2

### Category Equivalences of Clones of Operations Preserving Unary Operations

#### Autoren: Jörk Koppitz, Worakrit Supaprorn (2013)

Zeitschrift:
Comptes rendus de l´Acadèmie bulgare des Sciences
Seiten:
177-184
Band:
66/2

2013 | Some properties of solutions to weakly hypoelliptic equations | Christian Bär Zeitschrift: Int. J. Differ. Equ. Verlag: Hindawi, New York Seiten: Art. ID 526390 Band: 2013 Link zur Publikation, Link zum Preprint

### Some properties of solutions to weakly hypoelliptic equations

#### Autoren: Christian Bär (2013)

A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size. This is a huge class of important operators which cover all elliptic, overdetermined elliptic, subelliptic and parabolic equations.
We extend several classical theorems from complex analysis to solutions of any weakly hypoelliptic equation: the Montel theorem providing convergent subsequences, the Vitali theorem ensuring convergence of a given sequence and Riemann's first removable singularity theorem. In the case of constant coefficients we show that Liouville's theorem holds, any bounded solution must be constant and any L^p-solution must vanish.

Zeitschrift:
Int. J. Differ. Equ.
Verlag:
Hindawi, New York
Seiten:
Art. ID 526390
Band:
2013

2013 | Ricci flow, Einstein metrics and the Yamabe invariant | Klaus Kröncke Link zum Preprint

### Ricci flow, Einstein metrics and the Yamabe invariant

#### Autoren: Klaus Kröncke (2013)

We prove dynamical stability and instability theorems for compact Einstein metrics under the Ricci flow. The stability and instability conditions are given in terms of the conformal Yamabe invariant and the Laplace spectrum. These theorems generalize results recently obtained in the Ricci-flat case.

2013 | Asymptotic eigenfunctions for Schrödinger operators on a vector bundle | Matthias Ludewig, Elke Rosenberger Link zum Preprint

### Asymptotic eigenfunctions for Schrödinger operators on a vector bundle

#### Autoren: Matthias Ludewig, Elke Rosenberger (2013)

In the limit ℏ→0, we analyze a class of Schr\"odinger operators H = ℏ2 L + ℏ W + V idEh acting on sections of a vector bundle Eh over a Riemannian manifold M where L is a Laplace type operator, W is an endomorphism field and the potential energy V has a non-degenerate minimum at some point p ∈ M. We construct quasimodes of WKB-type near p for eigenfunctions associated with the low lying eigenvalues of H. These are obtained from eigenfunctions of the associated harmonic oscillator Hp,ℏ at p, acting on C(TpM, Ehp).

2013 | Chiral Asymmetry and the Spectral Action | Frank Pfäffle, Christoph Stephan Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 283-310 Band: 321, no. 2 Link zur Publikation, Link zum Preprint

### Chiral Asymmetry and the Spectral Action

#### Autoren: Frank Pfäffle, Christoph Stephan (2013)

We consider orthogonal connections with arbitrary torsion on compact Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators and Dirac operators of Chamseddine-Connes type we compute the spectral action. In addition to the Einstein-Hilbert action and the bosonic part of the Standard Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling of the Holst term to the scalar curvature and a prediction for the value of the Barbero-Immirzi parameter.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
283-310
Band:
321, no. 2

2013 | Noncommutative Geometry in the LHC-Era | Christoph Stephan Buchtitel: Proceedings of the XLVIIIth Rencontres de Moriond EW session Seiten: 451-458 Link zum Preprint

### Noncommutative Geometry in the LHC-Era

#### Autoren: Christoph Stephan (2013)

Noncommutative geometry allows to unify the basic building blocks of particle physics, Yang-Mills-Higgs theory and General relativity, into a single geometrical framework. The resulting effective theory constrains the couplings of the particle model and reduces the number of degrees of freedom. After briefly introducing the basic ideas of noncommutative geometry, I will present its predictions for the Standard Model and the few known models beyond the Standard Model. Most of these models, including the Standard Model, are now ruled out by LHC data. But interesting extensions of the Standard Model which agree with the presumed Standard Model Scalar mass and predict new particles are still very much alive and await further experimental data.

Buchtitel:
Proceedings of the XLVIIIth Rencontres de Moriond EW session
Seiten:
451-458

2013 | Classification with asymmetric label noise: Consistency and maximal denoising | Scott, C., Blanchard, G., Handy, G. Zeitschrift: COLT 2013 Verlag: JMLR Workshop and Conference Proceedings Seiten: 489-511 Band: 30

### Classification with asymmetric label noise: Consistency and maximal denoising

#### Autoren: Scott, C., Blanchard, G., Handy, G. (2013)

Zeitschrift:
COLT 2013
Verlag:
JMLR Workshop and Conference Proceedings
Seiten:
489-511
Band:
30

2012 | Predicting the F(ab)-mediated effect of monoclonal antibodies in vivo by combining cell-level kinetic and pharmacokinetic modelling | B.-F. Krippendorff, D. A. Oyarzún, W. Huisinga Zeitschrift: J. Pharmacokinet. Pharmacodyn. Seiten: 125-139 Band: 39 Link zur Publikation

### Predicting the F(ab)-mediated effect of monoclonal antibodies in vivo by combining cell-level kinetic and pharmacokinetic modelling

#### Autoren: B.-F. Krippendorff, D. A. Oyarzún, W. Huisinga (2012)

Zeitschrift:
J. Pharmacokinet. Pharmacodyn.
Seiten:
125-139
Band:
39

2012 | Modeling inter-individual variability in physiologically-based pharmacokinetics and its link to mechanistic covariate modeling | W. Huisinga, A. Solms, L. Fronton, S. Pilari Zeitschrift: CPT: Pharmacometrics & Systems Pharmacology Band: 1 Link zur Publikation, Suppl Material (Data and Matlab code)

### Modeling inter-individual variability in physiologically-based pharmacokinetics and its link to mechanistic covariate modeling

#### Autoren: W. Huisinga, A. Solms, L. Fronton, S. Pilari (2012)

Zeitschrift:
CPT: Pharmacometrics & Systems Pharmacology
Band:
1
Suppl Material (Data and Matlab code)

2012 | Hybrid stochastic-deterministic solution of the chemical master equation | S. Menz, J.C. Latorre, C. Schütte, W. Huisinga Zeitschrift: SIAM Multiscale Modelling and Simulation Seiten: 1232-1262 Band: 10 Link zur Publikation

### Hybrid stochastic-deterministic solution of the chemical master equation

#### Autoren: S. Menz, J.C. Latorre, C. Schütte, W. Huisinga (2012)

Zeitschrift:
SIAM Multiscale Modelling and Simulation
Seiten:
1232-1262
Band:
10

2012 | On the Monoid of All Partial Order-preserving Extensive Transformations | Dimitrova, I. and Koppitz, J. Zeitschrift: Communications in Algebra Band: 40

### On the Monoid of All Partial Order-preserving Extensive Transformations

#### Autoren: Dimitrova, I. and Koppitz, J. (2012)

Zeitschrift:
Communications in Algebra
Band:
40

2012 | The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain | Dimitrova, I., Fernandes, V.H. and Koppitz, J. Zeitschrift: Publications Mathematicae Debrecen Band: 81 no. 1

### The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain

#### Autoren: Dimitrova, I., Fernandes, V.H. and Koppitz, J. (2012)

Zeitschrift:
Publications Mathematicae Debrecen
Band:
81 no. 1

2012 | Finite Symmetric functions with non-trivial arity gap | Shtrakov, Sl. and Koppitz, J. Zeitschrift: Serdica J. Computing Band: 6

### Finite Symmetric functions with non-trivial arity gap

#### Autoren: Shtrakov, Sl. and Koppitz, J. (2012)

Zeitschrift:
Serdica J. Computing
Band:
6

2012 | Real Harmonic Analysis, Lectures by Pascal Auscher with the assistance of Lashi Bandara | Pascal Auscher, Lashi Bandara Verlag: Australian National University Press Link zur Publikation

### Real Harmonic Analysis, Lectures by Pascal Auscher with the assistance of Lashi Bandara

#### Autoren: Pascal Auscher, Lashi Bandara (2012)

This book presents the material covered in graduate lectures delivered at The Australian National University in 2010. Real Harmonic Analysis originates from the seminal works of Zygmund and Calderón, pursued by Stein, Weiss, Fefferman, Coifman, Meyer and many others. Moving from the classical periodic setting to the real line, then to higher dimensional Euclidean spaces and finally to, nowadays, sets with minimal structures, the theory has reached a high level of applicability. This is why it is called real harmonic analysis: the usual exponential functions have disappeared from the picture. Set and function decomposition prevail.

Verlag:
Australian National University Press

2012 | Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions | Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radoslaw Wojciechowski Zeitschrift: Journal of Spectral theory Seiten: 397-432 Band: 2 Link zur Publikation, Link zum Preprint

### Laplacians on infinite graphs: Dirichlet and Neumann boundary conditions

#### Autoren: Sebastian Haeseler, Matthias Keller, Daniel Lenz, Radoslaw Wojciechowski (2012)

We study Laplacians associated to a graph and single out a class of such operators with special regularity properties. In the case of locally finite graphs, this class consists of all selfadjoint, non-negative restrictions of the standard formal Laplacian and we can characterize the Dirichlet and Neumann Laplacians as the largest and smallest Markovian restrictions of the standard formal Laplacian. In the case of general graphs, this class contains the Dirichlet and Neumann Laplacians and we describe howthesemay differ fromeach other, characterize when they agree, and study connections to essential selfadjointness and stochastic completeness.

Finally, we study basic common features of all Laplacians associated to a graph. In particular, we characterize when the associated semigroup is positivity improving and present some basic estimates on its long term behavior. We also discuss some situations in which the Laplacian associated to a graph is unique and, in this context, characterize its boundedness.

Zeitschrift:
Journal of Spectral theory
Seiten:
397-432
Band:
2

2012 | Absolutely continuous spectrum for multi-type Galton Watson trees | Matthias Keller Zeitschrift: Annales Henri Poincaré Seiten: 1745-1766 Band: 13 Link zur Publikation, Link zum Preprint

### Absolutely continuous spectrum for multi-type Galton Watson trees

#### Autoren: Matthias Keller (2012)

We consider multi-type Galton Watson trees that are close to a tree of finite cone type in distribution. Moreover, we impose that each vertex has at least one forward neighbor. Then, we show that the spectrum of the Laplace operator exhibits almost surely a purely absolutely continuous component which is included in the absolutely continuous spectrum of the tree of finite cone type.

Zeitschrift:
Annales Henri Poincaré
Seiten:
1745-1766
Band:
13

2012 | Absolutely continuous spectrum for random operators on trees of finite cone type | Matthias Keller, Daniel Lenz, Simone Warzel Zeitschrift: Journal d'Analyse Mathematique Seiten: 363-396. Band: 118 Link zur Publikation, Link zum Preprint

### Absolutely continuous spectrum for random operators on trees of finite cone type

#### Autoren: Matthias Keller, Daniel Lenz, Simone Warzel (2012)

We study the spectrum of random operators on a large class of trees. These trees have finitely many cone types and they can be constructed by a substitution rule. The random operators are perturbations of Laplace type operators either by random potentials or by random hopping terms, i.e., perturbations of the off-diagonal elements. We prove stability of arbitrary large parts of the absolutely continuous spectrum for sufficiently small but extensive disorder.

Zeitschrift:
Journal d'Analyse Mathematique
Seiten:
363-396.
Band:
118

2012 | Dirichlet forms and stochastic completeness of graphs and subgraphs | Matthias Keller, Daniel Lenz Zeitschrift: Journal für die reine und angewandte Mathematik (Crelle's Journal) Seiten: 189-223 Band: 2012 Link zur Publikation, Link zum Preprint

### Dirichlet forms and stochastic completeness of graphs and subgraphs

#### Autoren: Matthias Keller, Daniel Lenz (2012)

We study Laplacians on graphs and networks via regular Dirichlet forms. We give a sufficient geometric condition for essential selfadjointness and explicitly determine the generators of the associated semigroups on all ℓp, 1 ≦ p < ∞, in this case. We characterize stochastic completeness thereby generalizing all earlier corresponding results for graph Laplacians. Finally, we study how stochastic completeness of a subgraph is related to stochastic completeness of the whole graph.

Zeitschrift:
Journal für die reine und angewandte Mathematik (Crelle's Journal)
Seiten:
189-223
Band:
2012

2012 | A new proof of Doob's theorem | Moritz Gerlach, Robin Nittka Zeitschrift: Journal of Mathematical Analysis and Applications Seiten: 763–774 Band: 388 Link zur Publikation, Link zum Preprint

### A new proof of Doob's theorem

#### Autoren: Moritz Gerlach, Robin Nittka (2012)

We prove that every bounded, positive, irreducible, stochastically continuous semigroup on the space of bounded, measurable functions which is strong Feller, consists of kernel operators and possesses an invariant measure converges pointwise. This differs from Doob's theorem in that we do not require the semigroup to be Markovian and request a fairly weak kind of irreducibility. In addition, we elaborate on the various notions of kernel operators in this context, show the stronger result that the adjoint semigroup converges strongly and discuss as an example diffusion equations on rough domains. The proofs are based on the theory of positive semigroups and do not use probability theory.

Zeitschrift:
Journal of Mathematical Analysis and Applications
Seiten:
763–774
Band:
388

2012 | Stress- and aftershock- constrained joint inversions for co- and post- seismic slip applied to the 2004 M6.0 Parkfield earthquake | Lifeng Wang, Sebastian Hainzl, Gert Zöller, Matthias Holschneider Zeitschrift: J. Geophys. Res. Verlag: American Geophysical Union Seiten: B07406 Band: 117 Link zur Publikation

### Stress- and aftershock- constrained joint inversions for co- and post- seismic slip applied to the 2004 M6.0 Parkfield earthquake

#### Autoren: Lifeng Wang, Sebastian Hainzl, Gert Zöller, Matthias Holschneider (2012)

Zeitschrift:
J. Geophys. Res.
Verlag:
American Geophysical Union
Seiten:
B07406
Band:
117

2012 | From alarm-based to rate-based earthquake forecast models | P. Shebalin, C. Narteau, and M. Holschneider Zeitschrift: BSSA.,102:64--72,2012. Seiten: 455-462 Band: 18

### From alarm-based to rate-based earthquake forecast models

#### Autoren: P. Shebalin, C. Narteau, and M. Holschneider (2012)

Zeitschrift:
BSSA.,102:64--72,2012.
Seiten:
455-462
Band:
18

2012 | Bayesian analysis of the modified omori law | M. Holschneider, C. Narteau, P. Shebalin, Z. Peng, and D. Schorlemmer Zeitschrift: Journal of Geophysical Research, Seiten: B06317 Band: 117

### Bayesian analysis of the modified omori law

#### Autoren: M. Holschneider, C. Narteau, P. Shebalin, Z. Peng, and D. Schorlemmer (2012)

Zeitschrift:
Journal of Geophysical Research,
Seiten:
B06317
Band:
117

2012 | Numerical modeling of solar wind influences on the dynamics of the high-latitude upper atmosphere | B.E. Namgaladze A.A. Holschneider M. Förster, M. Prokhorov Zeitschrift: Adv. Radio Sci., Seiten: 299—312 Band: 10

### Numerical modeling of solar wind influences on the dynamics of the high-latitude upper atmosphere

#### Autoren: B.E. Namgaladze A.A. Holschneider M. Förster, M. Prokhorov (2012)

Zeitschrift:
Seiten:
299—312
Band:
10

2012 | Bayesian selection of markov models for symbol sequences: Application to microsaccadic eye movements | Mario Bettenbühl, Marco Rusconi, Ralf Engbert, and Matthias Holschneider Zeitschrift: PloS ONE, Seiten: e43388 Band: 7(9)

### Bayesian selection of markov models for symbol sequences: Application to microsaccadic eye movements

#### Autoren: Mario Bettenbühl, Marco Rusconi, Ralf Engbert, and Matthias Holschneider (2012)

Zeitschrift:
PloS ONE,
Seiten:
e43388
Band:
7(9)

2012 | Bayesian estimation of the scaling parameter of fixational eye movements | N. Makarava, M. Bettenbühl, R. Engbert, and M. Holschneider Zeitschrift: Europhysics Letters, Seiten: 40003 Band: 100

### Bayesian estimation of the scaling parameter of fixational eye movements

#### Autoren: N. Makarava, M. Bettenbühl, R. Engbert, and M. Holschneider (2012)

Zeitschrift:
Europhysics Letters,
Seiten:
40003
Band:
100

2012 | Estimation of the hurst exponent from noisy data: a bayesian approach | N. Makarava and M. Holschneider Zeitschrift: The European Physical Journal B, Seiten: 1—6 Band: 85

### Estimation of the hurst exponent from noisy data: a bayesian approach

#### Autoren: N. Makarava and M. Holschneider (2012)

Zeitschrift:
The European Physical Journal B,
Seiten:
1—6
Band:
85

2012 | Error distribution in regional modelling of the geomagnetic field {Geophys. J. Int.}, 191:1015--1024, 2012 | Reyko Schachtschneider, Matthias Holschneider, and Mioara Mandea Seiten: 1015-1024 Band: 191,3

### Error distribution in regional modelling of the geomagnetic field {Geophys. J. Int.}, 191:1015--1024, 2012

#### Autoren: Reyko Schachtschneider, Matthias Holschneider, and Mioara Mandea (2012)

Seiten:
1015-1024
Band:
191,3

2012 | Improved daily GRACE gravity field solutions using Kalman smoother | E. Kurtenbach, A. Eicker, M. Holschneider, M. Hayn, M. Fuhrmann, J. Kusche Zeitschrift: Journal of Geodynamics Seiten: Pages 39–48 Band: Vol.59-60 Link zur Publikation

### Improved daily GRACE gravity field solutions using Kalman smoother

#### Autoren: E. Kurtenbach, A. Eicker, M. Holschneider, M. Hayn, M. Fuhrmann, J. Kusche (2012)

Zeitschrift:
Journal of Geodynamics
Seiten:
Pages 39–48
Band:
Vol.59-60

2012 | Nonlinear force-free extrapolation of emerging flux with a global twist and serpentine fine structures | G. Valori, L.M. Green, P. Demoulin, S. Vargas Dominguez, L. van Driel-Gesztelyi, A. Wallace, D. Baker, M. Fuhrmann Zeitschrift: Solar Physics

### Nonlinear force-free extrapolation of emerging flux with a global twist and serpentine fine structures

#### Autoren: G. Valori, L.M. Green, P. Demoulin, S. Vargas Dominguez, L. van Driel-Gesztelyi, A. Wallace, D. Baker, M. Fuhrmann (2012)

Zeitschrift:
Solar Physics

2012 | The retrieval of aerosol extinction coefficient profiles from Raman lidar data by inversion | P. Pornsawad, G. D'Amico, C. Böckmann, A. Amodeo, G. Pappalardo Zeitschrift: Applied Optics Seiten: 2035-2044 Band: 51 Link zur Publikation

### The retrieval of aerosol extinction coefficient profiles from Raman lidar data by inversion

#### Autoren: P. Pornsawad, G. D'Amico, C. Böckmann, A. Amodeo, G. Pappalardo (2012)

Zeitschrift:
Applied Optics
Seiten:
2035-2044
Band:
51

2012 | Remote sensing and in-situ measurements of tropospheric aerosol, a PAMARCMiP case study | A. Hoffmann, L. Osterloh, R. Stone , A. Lampert, C. Ritter,..., C. Böckmann, et al Zeitschrift: Atmospheric Environment Seiten: 56-66 Band: 52 Link zur Publikation

### Remote sensing and in-situ measurements of tropospheric aerosol, a PAMARCMiP case study

#### Autoren: A. Hoffmann, L. Osterloh, R. Stone , A. Lampert, C. Ritter,..., C. Böckmann, et al (2012)

Zeitschrift:
Atmospheric Environment
Seiten:
56-66
Band:
52

2012 | A simple numerical approach to the Riemann hypothesis | N. Tarkhanov Zeitschrift: In: Centre de Recherches Mathématiques, CRM Proceedings and Lecture Notes Reihe: Vol. 55 Seiten: 21--32

### A simple numerical approach to the Riemann hypothesis

#### Autoren: N. Tarkhanov (2012)

Zeitschrift:
In: Centre de Recherches Mathématiques, CRM Proceedings and Lecture Notes
Reihe:
Vol. 55
Seiten:
21--32

2012 | Boris Vasil'evich Fedosov | M. S. Agranovich, N. Tarkhanov et al. Zeitschrift: Russian Math. Surveys 67 (2012) Reihe: no. 1 Seiten: 167–174

### Boris Vasil'evich Fedosov

#### Autoren: M. S. Agranovich, N. Tarkhanov et al. (2012)

Zeitschrift:
Russian Math. Surveys 67 (2012)
Reihe:
no. 1
Seiten:
167–174

2012 | Elliptic quasicomplexes on compact closed manifolds | D. Wallenta Zeitschrift: Integr. Equ. Oper. Theory 73 (2012) Seiten: 517--536

### Elliptic quasicomplexes on compact closed manifolds

#### Autoren: D. Wallenta (2012)

Zeitschrift:
Integr. Equ. Oper. Theory 73 (2012)
Seiten:
517--536

2012 | Formal solutions of epidemic equation | V. Stepanenko and N. Tarkhanov Zeitschrift: In: Mathematics and Life Sciences, Walter de Gruyter, Berlin Seiten: 71--85

### Formal solutions of epidemic equation

#### Autoren: V. Stepanenko and N. Tarkhanov (2012)

Zeitschrift:
In: Mathematics and Life Sciences, Walter de Gruyter, Berlin
Seiten:
71--85

2012 | Inversion of Two-Dimensional Spheroidal Particle Distributions from Backscatter, Extinction and Depolarization Profiles via Regularization | C. Böckmann, L. Osterloh Zeitschrift: Proc. 9th International Symposium on Tropospheric Profiling Seiten: 1--4

### Inversion of Two-Dimensional Spheroidal Particle Distributions from Backscatter, Extinction and Depolarization Profiles via Regularization

#### Autoren: C. Böckmann, L. Osterloh (2012)

Zeitschrift:
Proc. 9th International Symposium on Tropospheric Profiling
Seiten:
1--4

2012 | On spectral projection for the complex Neumann problem | A. Alsaedy and N. Tarkhanov Zeitschrift: Mathematics and Physics 5 Reihe: no. 4 Seiten: 468--479

### On spectral projection for the complex Neumann problem

#### Autoren: A. Alsaedy and N. Tarkhanov (2012)

Zeitschrift:
Mathematics and Physics 5
Reihe:
no. 4
Seiten:
468--479

2012 | Microphysical Properties of Burning Biomass from Raman Lidar | C. Böckmann, L. Osterloh, D. Nicolae, L. Belegante Zeitschrift: Proc. 26th International Lidar Radar Conference Seiten: 1--4

### Microphysical Properties of Burning Biomass from Raman Lidar

#### Autoren: C. Böckmann, L. Osterloh, D. Nicolae, L. Belegante (2012)

Zeitschrift:
Proc. 26th International Lidar Radar Conference
Seiten:
1--4

2012 | On the instability of the Riemann hypothesis for curves over finite fields | P. M. Gauthier and N. Tarkhanov Zeitschrift: Journal of Approximation Theory 164 Seiten: 504--515

### On the instability of the Riemann hypothesis for curves over finite fields

#### Autoren: P. M. Gauthier and N. Tarkhanov (2012)

Zeitschrift:
Journal of Approximation Theory 164
Seiten:
504--515

2012 | Optical and Microphysical Properties from Raman Lidar and Depolarization Data | C. Böckmann, L. Osterloh, T. Rother, I. Serikov, H. Linne, S. Kinne, Zeitschrift: Proc. 26th International Lidar Radar Conference Seiten: 1--4

### Optical and Microphysical Properties from Raman Lidar and Depolarization Data

#### Autoren: C. Böckmann, L. Osterloh, T. Rother, I. Serikov, H. Linne, S. Kinne, (2012)

Zeitschrift:
Proc. 26th International Lidar Radar Conference
Seiten:
1--4

2012 | The Lefschetz number of sequences of trace class curvature | N. Tarkhanov and D. Wallenta Zeitschrift: Mathematical Sciences 6 Reihe: no. 44 Seiten: 1--16

### The Lefschetz number of sequences of trace class curvature

#### Autoren: N. Tarkhanov and D. Wallenta (2012)

Zeitschrift:
Mathematical Sciences 6
Reihe:
no. 44
Seiten:
1--16

2012 | An ensemble Kalman-Bucy filter for continuous data assimilation | K. Bergemann and S. Reich Zeitschrift: Meteorolog. Zeitschrift Seiten: 213-219 Band: 21 Link zur Publikation

### An ensemble Kalman-Bucy filter for continuous data assimilation

#### Autoren: K. Bergemann and S. Reich (2012)

Zeitschrift:
Meteorolog. Zeitschrift
Seiten:
213-219
Band:
21

2012 | Hydrostatic Hamiltonian particle-mesh (HPM) methods for atmospheric modeling | S. Shin, S. Reich, and J. Frank Zeitschrift: Quarterly Journal of the Royal Meteorological Society Seiten: 1388-1399 Band: 138 Link zur Publikation

### Hydrostatic Hamiltonian particle-mesh (HPM) methods for atmospheric modeling

#### Autoren: S. Shin, S. Reich, and J. Frank (2012)

Zeitschrift:
Quarterly Journal of the Royal Meteorological Society
Seiten:
1388-1399
Band:
138

2012 | A Gaussian mixture ensemble transform filters | S. Reich Zeitschrift: Q.J.R. Meteorolog. Soc Seiten: 222-233 Band: 138 Link zur Publikation

### A Gaussian mixture ensemble transform filters

#### Autoren: S. Reich (2012)

Zeitschrift:
Q.J.R. Meteorolog. Soc
Seiten:
222-233
Band:
138

2012 | On large volume preserving stable constant mean curvature surfaces in initial data sets | Michael Eichmair and Jan Metzger Zeitschrift: J. Differential Geom. Seiten: 81-102 Band: 91 Link zur Publikation

### On large volume preserving stable constant mean curvature surfaces in initial data sets

#### Autoren: Michael Eichmair and Jan Metzger (2012)

Zeitschrift:
J. Differential Geom.
Seiten:
81-102
Band:
91

2012 | Foucault und Mathematikdidaktik – eine fruchtbare Mischung? | David Kollosche Buchtitel: Ludwig & Kleine (Hg.) Beiträge zum Mathematikunterricht 2012. Vorträge auf der 46. Tagung für Didaktik der Mathematik.

### Foucault und Mathematikdidaktik – eine fruchtbare Mischung?

#### Autoren: David Kollosche (2012)

Buchtitel:
Ludwig & Kleine (Hg.) Beiträge zum Mathematikunterricht 2012. Vorträge auf der 46. Tagung für Didaktik der Mathematik.

2012 | A representation of the moment measures of the general ideal Bose gas | B. Nehring Zeitschrift: Math. Nach. Seiten: 878-888 Band: 285-7 Link zur Publikation

### A representation of the moment measures of the general ideal Bose gas

#### Autoren: B. Nehring (2012)

Zeitschrift:
Math. Nach.
Seiten:
878-888
Band:
285-7

2012 | Single-molecule stochastic times in a reversible bimolecular reaction. | P. Keller Zeitschrift: J. Chem. Phys. Band: 137-8 Link zur Publikation

### Single-molecule stochastic times in a reversible bimolecular reaction.

#### Autoren: P. Keller (2012)

Zeitschrift:
J. Chem. Phys.
Band:
137-8

2012 | Decay estimates for the quadratic tilt-excess of integral varifolds | Ulrich Menne Zeitschrift: Arch. Ration. Mech. Anal. Seiten: 1-83 Band: 204(1) Link zur Publikation, Link zum Preprint

### Decay estimates for the quadratic tilt-excess of integral varifolds

#### Autoren: Ulrich Menne (2012)

This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space with their first variation given by either a Radon measure or a function in some Lebesgue space. Pointwise decay results for the quadratic tilt-excess are established for those varifolds. The results are optimal in terms of the dimension of the varifold and the exponent of the Lebesgue space in most cases, for example if the varifold is not two-dimensional.

Zeitschrift:
Arch. Ration. Mech. Anal.
Seiten:
1-83
Band:
204(1)

2012 | Weak convergence of the series scheme of Markov chains to the solution of Lévy driven SDE | T. Kosenkova Zeitschrift: Theory of Stochastic Processes 18(34) 1 (2012) Link zur Publikation

### Weak convergence of the series scheme of Markov chains to the solution of Lévy driven SDE

#### Autoren: T. Kosenkova (2012)

Zeitschrift:
Theory of Stochastic Processes 18(34) 1 (2012)

2012 | Finite Symmetric Functions with non-trivial arity gap | Jörg Koppitz, Slavcho Shtrakov Zeitschrift: Serdica J. Computing Seiten: 419-436 Band: 6

### Finite Symmetric Functions with non-trivial arity gap

#### Autoren: Jörg Koppitz, Slavcho Shtrakov (2012)

Zeitschrift:
Serdica J. Computing
Seiten:
419-436
Band:
6

2012 | On the Monoid of All Partial Order-preserving Extensive Transformations | Ilinka Dimitrova, Jörg Koppitz Zeitschrift: Communications in Algebra Seiten: 1821-1826 Band: 40

### On the Monoid of All Partial Order-preserving Extensive Transformations

#### Autoren: Ilinka Dimitrova, Jörg Koppitz (2012)

Zeitschrift:
Communications in Algebra
Seiten:
1821-1826
Band:
40

2012 | The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain | Ilinka Dimitrova, Vitor Fernandes, Jörg Koppitz Zeitschrift: Publications Mathematicae Debrecen Seiten: 11_29 Band: 81/1-2

### The maximal subsemigroups of semigroups of transformations preserving or reversing the orientation on a finite chain

#### Autoren: Ilinka Dimitrova, Vitor Fernandes, Jörg Koppitz (2012)

Zeitschrift:
Publications Mathematicae Debrecen
Seiten:
11_29
Band:
81/1-2

2012 | Tunneling for a class of difference operators | Markus Klein, Elke Rosenberger Zeitschrift: Annales Henri Poincare Seiten: 1231 – 1269 Band: 13, Nr. 5 Link zur Publikation

### Tunneling for a class of difference operators

#### Autoren: Markus Klein, Elke Rosenberger (2012)

We analyze a general class of difference operators acting on the square summable function on , where is a multi-well potential and is a small parameter.

We decouple the wells by introducing certain Dirichlet operators on regions containing only one potential well, and we shall treat the eigenvalue problem for as a small perturbation of these comparison problems. We describe tunneling by a certain interaction matrix, similar to the analysis for the Schrödinger operator (see Helffer-Sjöstrand (1982)), and estimate the remainder, which is exponentially small and roughly quadratic compared with the interaction matrix.

Zeitschrift:
Annales Henri Poincare
Seiten:
1231 – 1269
Band:
13, Nr. 5

2012 | Renormalized Integrals and a Path Integral Formula for the Heat Kernel on a Manifold | Christian Bär Zeitschrift: Contemp. Math. Verlag: American Mathematical Society Buchtitel: C. Aldana, M. Braverman, B. Iochum, C. Neira Jimenez (eds.): Analysis, Geometry and Quantum Field Theory Seiten: 179-197 Band: 584 Link zur Publikation, Link zum Preprint

### Renormalized Integrals and a Path Integral Formula for the Heat Kernel on a Manifold

#### Autoren: Christian Bär (2012)

We introduce renormalized integrals which generalize conventional measure theoretic integrals. One approximates the integration domain by measure spaces and defines the integral as the limit of integrals over the approximating spaces. This concept is implicitly present in many mathematical contexts such as Cauchy's principal value, the determinant of operators on a Hilbert space and the Fourier transform of an Lp-function.
We use renormalized integrals to define a path integral on manifolds by approximation via geodesic polygons. The main part of the paper is dedicated to the proof of a path integral formula for the heat kernel of any self-adjoint generalized Laplace operator acting on sections of a vector bundle over a compact Riemannian manifold.

Zeitschrift:
Contemp. Math.
Verlag:
American Mathematical Society
Buchtitel:
C. Aldana, M. Braverman, B. Iochum, C. Neira Jimenez (eds.): Analysis, Geometry and Quantum Field Theory
Seiten:
179-197
Band:
584

2012 | Discrepancy principle for statistical inverse problems with application to conjugate gradient iteration | Blanchard, G., Mathé, P. Zeitschrift: Inverse Problems Verlag: IOP Publishing Band: 28

### Discrepancy principle for statistical inverse problems with application to conjugate gradient iteration

#### Autoren: Blanchard, G., Mathé, P. (2012)

Zeitschrift:
Inverse Problems
Verlag:
IOP Publishing
Band:
28

2012 | Boundary Value Problems for Elliptic Differential Operators of First Order | Werner Ballmann, Christian Bär Zeitschrift: Surv. Differ. Geom. Verlag: International Press Seiten: 1-78 Band: 17 Link zur Publikation, Link zum Preprint

### Boundary Value Problems for Elliptic Differential Operators of First Order

#### Autoren: Werner Ballmann, Christian Bär (2012)

We study boundary value problems for linear elliptic differential operators of order one. The underlying manifold may be noncompact, but the boundary is assumed to be compact. We require a symmetry property of the principal symbol of the operator along the boundary. This is satisfied by Dirac type operators, for instance.
We provide a selfcontained introduction to (nonlocal) elliptic boundary conditions, boundary regularity of solutions, and index theory. In particular, we simplify and generalize the traditional theory of elliptic boundary value problems for Dirac type operators. We also prove a related decomposition theorem, a general version of Gromov and Lawson's relative index theorem and a generalization of the cobordism theorem.

Zeitschrift:
Surv. Differ. Geom.
Verlag:
International Press
Seiten:
1-78
Band:
17

2012 | On the convergence rate of lp-norm multiple kernel learning | Kloft, M., Blanchard, G. Zeitschrift: Journal of Machine Learning Research Verlag: JMLR. org Seiten: 2465-2502 Band: 13

### On the convergence rate of lp-norm multiple kernel learning

#### Autoren: Kloft, M., Blanchard, G. (2012)

Zeitschrift:
Journal of Machine Learning Research
Verlag:
JMLR. org
Seiten:
2465-2502
Band:
13

2012 | CCR- versus CAR-quantization on curved spacetimes | Christian Bär, Nicolas Ginoux Verlag: Birkhäuser Buchtitel: F. Finster, O. Müller, M. Nardmann, J. Tolksdorf, E. Zeidler (Eds.): Quantum Field Theory and Gravity Seiten: 183-206 Link zur Publikation, Link zum Preprint

### CCR- versus CAR-quantization on curved spacetimes

#### Autoren: Christian Bär, Nicolas Ginoux (2012)

We provide a systematic construction of bosonic and fermionic locally covariant quantum field theories on curved backgrounds for large classes of free fields. It turns out that bosonic quantization is possible under much more general assumptions than fermionic quantization.

Verlag:
Birkhäuser
Buchtitel:
F. Finster, O. Müller, M. Nardmann, J. Tolksdorf, E. Zeidler (Eds.): Quantum Field Theory and Gravity
Seiten:
183-206

2012 | Exemplar-based image inpainting: Fast priority and coherent nearest neighbor search | Martínez-Noriega, R., Roumy, A., Blanchard, G. Zeitschrift: Machine Learning for Signal Processing (MLSP), 2012 IEEE International Workshop on Verlag: IEEE Seiten: 1-6

### Exemplar-based image inpainting: Fast priority and coherent nearest neighbor search

#### Autoren: Martínez-Noriega, R., Roumy, A., Blanchard, G. (2012)

Zeitschrift:
Machine Learning for Signal Processing (MLSP), 2012 IEEE International Workshop on
Verlag:
IEEE
Seiten:
1-6

2012 | Classical and Quantum Fields on Lorentzian Manifolds | Christian Bär, Nicolas Ginoux Reihe: Springer Proceedings in Mathematics Verlag: Springer Buchtitel: C. Bär, J. Lohkamp, M. Schwarz (Eds.): Global Differential Geometry Seiten: 359-400 Band: 17 Link zur Publikation, Link zum Preprint

### Classical and Quantum Fields on Lorentzian Manifolds

#### Autoren: Christian Bär, Nicolas Ginoux (2012)

We construct bosonic and fermionic locally covariant quantum field theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.

Reihe:
Springer Proceedings in Mathematics
Verlag:
Springer
Buchtitel:
C. Bär, J. Lohkamp, M. Schwarz (Eds.): Global Differential Geometry
Seiten:
359-400
Band:
17

2012 | A simple extension of stability feature selection | Beinrucker, A., Dogan, Ü., Blanchard, G. Zeitschrift: Pattern Recognition (DAGM-OAGM 2012) Verlag: Springer Berlin Heidelberg Seiten: 256-265

### A simple extension of stability feature selection

#### Autoren: Beinrucker, A., Dogan, Ü., Blanchard, G. (2012)

Zeitschrift:
Pattern Recognition (DAGM-OAGM 2012)
Verlag:
Springer Berlin Heidelberg
Seiten:
256-265

2012 | Global Differential Geometry | Christian Bär, Joachim Lohkamp, Matthias Schwarz Reihe: Springer Proceedings in Mathematics Verlag: Springer Band: 17 Link zur Publikation

### Global Differential Geometry

#### Autoren: Christian Bär, Joachim Lohkamp, Matthias Schwarz (2012)

This volume contains a collection of surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Reihe:
Springer Proceedings in Mathematics
Verlag:
Springer
Band:
17

2012 | Early stopping for mutual information based feature selection | Beinrucker, A., Dogan, U., Blanchard, G. Zeitschrift: Pattern Recognition (ICPR), 2012 21st International Conference on Verlag: IEEE Seiten: 975-978

### Early stopping for mutual information based feature selection

#### Autoren: Beinrucker, A., Dogan, U., Blanchard, G. (2012)

Zeitschrift:
Pattern Recognition (ICPR), 2012 21st International Conference on
Verlag:
IEEE
Seiten:
975-978

2012 | On Gravity, Torsion and the Spectral Action Principle | Frank Pfäffle, Christoph Stephan Zeitschrift: J. Funct. Anal. Verlag: Elsevier Seiten: 1529-1565 Band: 262, no. 4 Link zur Publikation, Link zum Preprint

### On Gravity, Torsion and the Spectral Action Principle

#### Autoren: Frank Pfäffle, Christoph Stephan (2012)

We consider compact Riemannian spin manifolds without boundary equipped with orthogonal connections. We investigate the induced Dirac operators and the associated commutative spectral triples. In case of dimension four and totally anti-symmetric torsion we compute the Chamseddine-Connes spectral action, deduce the equations of motions and discuss critical points.

Zeitschrift:
J. Funct. Anal.
Verlag:
Elsevier
Seiten:
1529-1565
Band:
262, no. 4

2011 | Gestational Influences on the Pharmacokinetics of Gestagenic Drugs: A Combined In Silico, In Vitro and In Vivo Analysis | S. Pilari, C. Preusse, W. Huisinga Zeitschrift: Eur J Pharm Sci. Seiten: 318-331 Band: 42 Link zur Publikation

### Gestational Influences on the Pharmacokinetics of Gestagenic Drugs: A Combined In Silico, In Vitro and In Vivo Analysis

#### Autoren: S. Pilari, C. Preusse, W. Huisinga (2011)

Zeitschrift:
Eur J Pharm Sci.
Seiten:
318-331
Band:
42

2011 | Logarithmic convergence rate of Levenberg_Marquardt method with application to an inverse potential problem | C. Böckmann, A. Kammanee, H.-A. Braunß Zeitschrift: Journal of Inverse and III-Posed Problems Seiten: 345-367 Band: 19 Link zur Publikation

### Logarithmic convergence rate of Levenberg_Marquardt method with application to an inverse potential problem

#### Autoren: C. Böckmann, A. Kammanee, H.-A. Braunß (2011)

Zeitschrift:
Journal of Inverse and III-Posed Problems
Seiten:
345-367
Band:
19

2011 | Error-Controlled Global Sensitivity Analysis of Ordinary Differential Equations | A. Y. Weiße, W. Huisinga Zeitschrift: J. Comput. Phys. Seiten: 6824-6842 Band: 230 Link zur Publikation, Suppl Material (zip)

### Error-Controlled Global Sensitivity Analysis of Ordinary Differential Equations

#### Autoren: A. Y. Weiße, W. Huisinga (2011)

Zeitschrift:
J. Comput. Phys.
Seiten:
6824-6842
Band:
230
Suppl Material (zip)

2011 | HIV Quasispecies Dynamics during Pro-Active Treatment Switching: Impact on Multi-Drug Resistance and Resistance Archiving in Latent Reservoirs | M. von Kleist, S. Menz, H. Stocker, K. Arasteh, C. Schütte, W. Huisinga Zeitschrift: PLoS ONE Band: 6 Link zur Publikation, e18204

### HIV Quasispecies Dynamics during Pro-Active Treatment Switching: Impact on Multi-Drug Resistance and Resistance Archiving in Latent Reservoirs

#### Autoren: M. von Kleist, S. Menz, H. Stocker, K. Arasteh, C. Schütte, W. Huisinga (2011)

Zeitschrift:
PLoS ONE
Band:
6

2011 | Intra-aortic balloon pump counterpulsation (IABP) for myocardial infarction complicated by cardiogenic shock | S. Unverzagt, M.-T. Machemer, A. Solms, H. Thiele, D. Burkhoff, M. Seyfarth, A. de Waha, E. Magnus Ohman, Michael Buerke, Johannes Haerting, Karl Werdan, Roland Prondzinsky Zeitschrift: Cochrane Database of Systematic Reviews 6, CD007398 Link zur Publikation

### Intra-aortic balloon pump counterpulsation (IABP) for myocardial infarction complicated by cardiogenic shock

#### Autoren: S. Unverzagt, M.-T. Machemer, A. Solms, H. Thiele, D. Burkhoff, M. Seyfarth, A. de Waha, E. Magnus Ohman, Michael Buerke, Johannes Haerting, Karl Werdan, Roland Prondzinsky (2011)

Zeitschrift:
Cochrane Database of Systematic Reviews 6, CD007398

2011 | On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations | Dimitrova, I. and Koppitz, J. Zeitschrift: Semigroup Forum Band: 82

### On the maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations

#### Autoren: Dimitrova, I. and Koppitz, J. (2011)

Zeitschrift:
Semigroup Forum
Band:
82

2011 | Coregular Semigroups of full Transformations | Dimitrova, I. and Koppitz, J. Zeitschrift: Demonstratio Mathematica Band: Vol. XLIV, No. 4

### Coregular Semigroups of full Transformations

#### Autoren: Dimitrova, I. and Koppitz, J. (2011)

Zeitschrift:
Demonstratio Mathematica
Band:
Vol. XLIV, No. 4

2011 | Quadratic Estimates and perturbations of Dirac type operators on doubling measure metric spaces | Lashi Bandara Reihe: Proc. Centre Math. Appl. Austral. Nat. Univ. Verlag: Austral. Nat. Univ., Canberra Buchtitel: Proceedings of the AMSI International Conference on Harmonic Analysis and Applications Seiten: 1-21 Band: 45 Link zur Publikation, Link zum Preprint

### Quadratic Estimates and perturbations of Dirac type operators on doubling measure metric spaces

#### Autoren: Lashi Bandara (2011)

We consider perturbations of Dirac type operators on complete, connected metric spaces equipped with a doubling measure. Under a suitable set of assumptions, we prove quadratic estimates for such operators and hence deduce that these operators have a bounded functional calculus. In particular, we deduce a Kato square root type estimate.

Reihe:
Proc. Centre Math. Appl. Austral. Nat. Univ.
Verlag:
Austral. Nat. Univ., Canberra
Buchtitel:
Proceedings of the AMSI International Conference on Harmonic Analysis and Applications
Seiten:
1-21
Band:
45

2011 | Curvature, geometry and spectral properties of planar graphs | Matthias Keller Zeitschrift: Discrete & Computational Geometry Seiten: 500-525 Band: 46 Link zur Publikation, Link zum Preprint

### Curvature, geometry and spectral properties of planar graphs

#### Autoren: Matthias Keller (2011)

We introduce a curvature function for planar graphs to study the connection between the curvature and the geometric and spectral properties of the graph. We show that non-positive curvature implies that the graph is infinite and locally similar to a tessellation. We use this to extend several results known for tessellations to general planar graphs. For non-positive curvature, we show that the graph admits no cut locus and we give a description of the boundary structure of distance balls. For negative curvature, we prove that the interiors of minimal bigons are empty and derive explicit bounds for the growth of distance balls and Cheeger’s constant. The latter are used to obtain lower bounds for the bottom of the spectrum of the discrete Laplace operator. Moreover, we give a characterization for triviality of the essential spectrum by uniform decrease of the curvature. Finally, we show that non-positive curvature implies the absence of finitely supported eigenfunctions for nearest neighbor operators.

Zeitschrift:
Discrete & Computational Geometry
Seiten:
500-525
Band:
46

2011 | Generalized solutions and spectrum for Dirichlet forms on graphs | Sebastian Haeseler, Matthias Keller Reihe: Progress in Probability Verlag: Birkhäuser Buchtitel: Random Walks, Boundaries and Spectra Seiten: 181-201 Link zur Publikation, Link zum Preprint

### Generalized solutions and spectrum for Dirichlet forms on graphs

#### Autoren: Sebastian Haeseler, Matthias Keller (2011)

In the framework of regular Dirichlet forms we consider operators on infinite graphs. We study the connection of the existence of solutions with certain properties and the spectrum of the operators. In particular we prove a version of the Allegretto-Piepenbrink theorem which says that positive (super)-solutions to a generalized eigenvalue equation exist exactly for energies not exceeding the infimum of the spectrum. Moreover we show a version of Shnol’s theorem, which says that existence of solutions satisfying a growth condition with respect to a given boundary measure implies that the corresponding energy is in the spectrum.

Reihe:
Progress in Probability
Verlag:
Birkhäuser
Buchtitel:
Random Walks, Boundaries and Spectra
Seiten:
181-201

2011 | Cheeger constants, growth and spectrum of locally tessellating planar graphs (with Norbert Peyerimhoff), | Matthias Keller, Norbert Peyerimhoff Zeitschrift: Mathematische Zeitschrift Seiten: 871-886 Band: 268 Link zur Publikation, Link zum Preprint

### Cheeger constants, growth and spectrum of locally tessellating planar graphs (with Norbert Peyerimhoff),

#### Autoren: Matthias Keller, Norbert Peyerimhoff (2011)

In this article, we study relations between the local geometry of planar graphs (combinatorial curvature) and global geometric invariants, namely the Cheeger constants and the exponential growth. We also discuss spectral applications.

Zeitschrift:
Mathematische Zeitschrift
Seiten:
871-886
Band:
268

2011 | Relative Cauchy evolution for spin 1 fields | Marco Benini Zeitschrift: MSc thesis Verlag: University of Pavia Link zum Preprint

### Relative Cauchy evolution for spin 1 fields

#### Autoren: Marco Benini (2011)

In this thesis the generally covariant locality principle for bosonic free fields has been thoroughly analyzed devoting particular attention to the case of spin 1 fields on curved spacetimes (Proca and Maxwell fields). This has been obtained in two steps: In the first place the preliminary study of the corresponding field equations led to the construction of a symplectic space of solutions describing the classical theories of the considered fields. Secondly the locally covariant quantum theory of the field under consideration has been obtained through the assignment of the Weyl algebra associated to the symplectic space describing the classical theory. The last part of the thesis has been devoted to the proof of the relative Cauchy evolution for both the Proca field and the Maxwell field.

Zeitschrift:
MSc thesis
Verlag:
University of Pavia

2011 | Estimation of the maximum possible magnitude in the framework of the doubly-truncated Gutenberg-Richter model | Matthias Holschneider, Gert Zöller, Sebastian Hainzl Zeitschrift: Bull. Seismol. Soc. Am. Verlag: Seismological Society of America Seiten: 1649-1659 Band: 101 Link zur Publikation

### Estimation of the maximum possible magnitude in the framework of the doubly-truncated Gutenberg-Richter model

#### Autoren: Matthias Holschneider, Gert Zöller, Sebastian Hainzl (2011)

Zeitschrift:
Bull. Seismol. Soc. Am.
Verlag:
Seismological Society of America
Seiten:
1649-1659
Band:
101

2011 | Estimation of the maximum possible magnitude in the framework of the doubly-truncated gutenberg-richter model, | M. Holschneider, G. Zöller, and S. Hainzl Zeitschrift: Bull. Seismol. Soc. Am., Seiten: 1649—1659 Band: 101(4):

### Estimation of the maximum possible magnitude in the framework of the doubly-truncated gutenberg-richter model,

#### Autoren: M. Holschneider, G. Zöller, and S. Hainzl (2011)

Zeitschrift:
Bull. Seismol. Soc. Am.,
Seiten:
1649—1659
Band:
101(4):

2011 | Bayesian estimation of the self-similarity exponent of the Nile River fluctuation | S. Benmehdi, N. Makarava, N. Benhamidouche, and M. Holschneider Zeitschrift: Nonlinear Processes in Geophysics, Seiten: 441—446 Band: 18(3):

### Bayesian estimation of the self-similarity exponent of the Nile River fluctuation

#### Autoren: S. Benmehdi, N. Makarava, N. Benhamidouche, and M. Holschneider (2011)

Zeitschrift:
Nonlinear Processes in Geophysics,
Seiten:
441—446
Band:
18(3):

2011 | Short-term earthquake forecasting using early aftershock statistics | P. Shebalin, C. Narteau, M. Holschneider, and D. Schorlemmer Zeitschrift: BSSA Seiten: :297--312 Band: 101

### Short-term earthquake forecasting using early aftershock statistics

#### Autoren: P. Shebalin, C. Narteau, M. Holschneider, and D. Schorlemmer (2011)

Zeitschrift:
BSSA
Seiten:
:297--312
Band:
101

2011 | Detection of trend changes in time series using bayesian inference | Nadine Schütz and Matthias Holschneider Zeitschrift: Phys. Rev. E Seiten: 21120 Band: 84:

### Detection of trend changes in time series using bayesian inference

#### Autoren: Nadine Schütz and Matthias Holschneider (2011)

Zeitschrift:
Phys. Rev. E
Seiten:
21120
Band:
84:

2011 | Bayesian estimation of self-similarity exponent | Natallia Makarava, Sabah Benmehdi, and Matthias Holschneider Zeitschrift: Phys. Rev. E Seiten: 21109 Band: 84:

### Bayesian estimation of self-similarity exponent

#### Autoren: Natallia Makarava, Sabah Benmehdi, and Matthias Holschneider (2011)

Zeitschrift:
Phys. Rev. E
Seiten:
21109
Band:
84:

2011 | Wavelet modeling of the gravity field by domain decomposition methods : an example over japan | I. Panet, Y Kuroishi, and M. Holschneider Zeitschrift: Geophys. J. Int. Seiten: 203--219 Band: 184(1):

### Wavelet modeling of the gravity field by domain decomposition methods : an example over japan

#### Autoren: I. Panet, Y Kuroishi, and M. Holschneider (2011)

Zeitschrift:
Geophys. J. Int.
Seiten:
203--219
Band:
184(1):

2011 | A comparison of preprocessing methods for solar force-free magnetic field extrapolation | M. Fuhrmann, N. Seehafer, G. Valori, T. Wiegelmann Zeitschrift: A&A 526 Seiten: Pages 73-97 Band: A70 Volume

### A comparison of preprocessing methods for solar force-free magnetic field extrapolation

#### Autoren: M. Fuhrmann, N. Seehafer, G. Valori, T. Wiegelmann (2011)

Zeitschrift:
A&A 526
Seiten:
Pages 73-97
Band:
A70 Volume

2011 | An analogue of the Paley-Wiener theorem and its applications to optimal recovering of entire functions | N. Tarkhanov, L.S. Maergoiz Zeitschrift: Ufimskii Matematicheskii Zhurnal Reihe: Vol. 3, Issue 1 Seiten: S. 16-30

### An analogue of the Paley-Wiener theorem and its applications to optimal recovering of entire functions

#### Autoren: N. Tarkhanov, L.S. Maergoiz (2011)

Zeitschrift:
Ufimskii Matematicheskii Zhurnal
Reihe:
Vol. 3, Issue 1
Seiten:
S. 16-30

2011 | Equations of Maxwell type | N. Tarkhanov, K. Makhmudov, O. Makhmudov Zeitschrift: Journal of Mathematical Analysis and Applications Reihe: Vol. 378, Issue 1

### Equations of Maxwell type

#### Autoren: N. Tarkhanov, K. Makhmudov, O. Makhmudov (2011)

Zeitschrift:
Journal of Mathematical Analysis and Applications
Reihe:
Vol. 378, Issue 1

2011 | Forced nonlinear resonance in a system of coupled oscillators | N. Tarkhanov, S. Glebov, O. Kiselev Zeitschrift: An Interdisciplinary Journal of Nonlinear Science Reihe: Vol. 21, Issue 2, Article 023109 Seiten: 7 Seiten

### Forced nonlinear resonance in a system of coupled oscillators

#### Autoren: N. Tarkhanov, S. Glebov, O. Kiselev (2011)

Zeitschrift:
An Interdisciplinary Journal of Nonlinear Science
Reihe:
Vol. 21, Issue 2, Article 023109
Seiten:
7 Seiten

2011 | Holomorphic corner symbols | B.-W. Schulze, N. Habal Zeitschrift: Journal of Pseudo-Differential Operators and Applications Seiten: S. 419-465

### Holomorphic corner symbols

#### Autoren: B.-W. Schulze, N. Habal (2011)

Zeitschrift:
Journal of Pseudo-Differential Operators and Applications
Seiten:
S. 419-465

2011 | Mellin and Green operators of the corner calculus, | B.-W. Schulze, M.W. Wong Zeitschrift: Journal of Pseudo-Differential Operators and Applications Seiten: S. 467-507

### Mellin and Green operators of the corner calculus,

#### Autoren: B.-W. Schulze, M.W. Wong (2011)

Zeitschrift:
Journal of Pseudo-Differential Operators and Applications
Seiten:
S. 467-507

2011 | Mellin Operators with Asymptotics on manifolds with Corners | B.-W. Schulze, M.W. Wong Zeitschrift: Pseudo-Differential Operators: Analysis, Applications and Computations Verlag: Birkhäuser Verlag Seiten: S. 31-78

### Mellin Operators with Asymptotics on manifolds with Corners

#### Autoren: B.-W. Schulze, M.W. Wong (2011)

Zeitschrift:
Pseudo-Differential Operators: Analysis, Applications and Computations
Verlag:
Birkhäuser Verlag
Seiten:
S. 31-78

2011 | Noncommutative formal Taylor expansions and second quantised regularised traces | S. Paycha, Ed.: Ed. K. Ebrahimi-Fard, M. Marcolli, W.D. van Suijlekom Zeitschrift: in Combinatorics and Physics, Contemporary Mathematics AMS Reihe: vol. 539 Seiten: S. 349-376

### Noncommutative formal Taylor expansions and second quantised regularised traces

#### Autoren: S. Paycha, Ed.: Ed. K. Ebrahimi-Fard, M. Marcolli, W.D. van Suijlekom (2011)

Zeitschrift:
in Combinatorics and Physics, Contemporary Mathematics AMS
Reihe:
vol. 539
Seiten:
S. 349-376

2011 | Renormalization by Birkhoff factorization and by generalized evaluators | S. Paycha, L.Guo, B. Zhang Zeitschrift: in Noncommutative Geometry, Arithmetic and Related Topics Verlag: John Hopkins University Press Seiten: S. 183-211

### Renormalization by Birkhoff factorization and by generalized evaluators

#### Autoren: S. Paycha, L.Guo, B. Zhang (2011)

Zeitschrift:
in Noncommutative Geometry, Arithmetic and Related Topics
Verlag:
John Hopkins University Press
Seiten:
S. 183-211

2011 | Separation of boundary singularities for holomorphic generators | N. Tarkhanov, M. Elin, D. Shoikhet Zeitschrift: Annali di Matematica Pura ed Applicata Seiten: S. 595-618

### Separation of boundary singularities for holomorphic generators

#### Autoren: N. Tarkhanov, M. Elin, D. Shoikhet (2011)

Zeitschrift:
Annali di Matematica Pura ed Applicata
Seiten:
S. 595-618

2011 | Spectral triples and manifolds with boundary | C. Levy, B. Iochum Zeitschrift: Journal of Functional Analysis 260 Seiten: S. 117-134,

### Spectral triples and manifolds with boundary

#### Autoren: C. Levy, B. Iochum (2011)

Zeitschrift:
Journal of Functional Analysis 260
Seiten:
S. 117-134,

2011 | Tadpoles and commutative spectral triples | C. Levy, B. Iochum Zeitschrift: Journal of Noncommutative Geometry 5, Seiten: S. 299-329

### Tadpoles and commutative spectral triples

#### Autoren: C. Levy, B. Iochum (2011)

Zeitschrift:
Journal of Noncommutative Geometry 5,
Seiten:
S. 299-329

2011 | The Dirichlet to Neumann operator for elliptic complexes | N. Tarkhanov Zeitschrift: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 363 Reihe: Volume 363 Seiten: S. 6421-6437

### The Dirichlet to Neumann operator for elliptic complexes

#### Autoren: N. Tarkhanov (2011)

Zeitschrift:
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 363
Reihe:
Volume 363
Seiten:
S. 6421-6437

2011 | The Dirichlet to Neumann operator for nonlinear elliptic equations | N. Tarkhanov, I. Ly Zeitschrift: Complex Analysis and Dynamical Systems IV, Contemporary Mathematics Reihe: vol. 553 Seiten: S. 115-126

### The Dirichlet to Neumann operator for nonlinear elliptic equations

#### Autoren: N. Tarkhanov, I. Ly (2011)

Zeitschrift:
Complex Analysis and Dynamical Systems IV, Contemporary Mathematics
Reihe:
vol. 553
Seiten:
S. 115-126

2011 | The logarithmic residue density of a generalized Laplacian | S. Paycha, J. Mickelsson Zeitschrift: Journal of the Australian Mathematical Society Reihe: Vol. 90 n.1 Seiten: S. 53-80

### The logarithmic residue density of a generalized Laplacian

#### Autoren: S. Paycha, J. Mickelsson (2011)

Zeitschrift:
Journal of the Australian Mathematical Society
Reihe:
Vol. 90 n.1
Seiten:
S. 53-80

2011 | The Schwarz kernel in Clifford analysis | N. Tarkhanov, L. Aizenberg Zeitschrift: Complex Analysis and Dynamical Systems IV, Contemporary Mathematics Reihe: vol. 553 Seiten: S. 1-13

### The Schwarz kernel in Clifford analysis

#### Autoren: N. Tarkhanov, L. Aizenberg (2011)

Zeitschrift:
Complex Analysis and Dynamical Systems IV, Contemporary Mathematics
Reihe:
vol. 553
Seiten:
S. 1-13

2011 | Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem | C. Böckmann, A. Kammanee, A. Braunß Zeitschrift: Journal Inverse and Ill-posed Problems Seiten: 345-367 Band: 19 Link zur Publikation

### Logarithmic convergence rate of Levenberg–Marquardt method with application to an inverse potential problem

#### Autoren: C. Böckmann, A. Kammanee, A. Braunß (2011)

Zeitschrift:
Journal Inverse and Ill-posed Problems
Seiten:
345-367
Band:
19

2011 | An Adaptive Base Point Algorithm for the Retrieval of Aerosol Microphysical Properties | L. Osterloh, C. Böckmann, R. E. Mamouri, A. Papayannis Zeitschrift: The Open Atmospheric Science Journal Seiten: 61-73 Band: 5 Link zur Publikation

### An Adaptive Base Point Algorithm for the Retrieval of Aerosol Microphysical Properties

#### Autoren: L. Osterloh, C. Böckmann, R. E. Mamouri, A. Papayannis (2011)

Zeitschrift:
The Open Atmospheric Science Journal
Seiten:
61-73
Band:
5

2011 | Broyden method for inverse non-symmetric Sturm-Liouville problems | C. Böckmann, A. Kammanee Zeitschrift: BIT Seiten: 513-528 Band: 51 Link zur Publikation

### Broyden method for inverse non-symmetric Sturm-Liouville problems

#### Autoren: C. Böckmann, A. Kammanee (2011)

Zeitschrift:
BIT
Seiten:
513-528
Band:
51

2011 | Corrected potential energy functions for constrained molecular dynamics | R.D. Skeel and S. Reich Zeitschrift: European Physical Journal Special Topics Seiten: 55-72 Band: 200 Link zur Publikation

### Corrected potential energy functions for constrained molecular dynamics

#### Autoren: R.D. Skeel and S. Reich (2011)

Zeitschrift:
European Physical Journal Special Topics
Seiten:
55-72
Band:
200

2011 | On the use of constraints in molecular and geophysical fluid dynamics | S. Reich and T. Hundertmark Zeitschrift: European Physical Journal Special Topics Seiten: 259-270 Band: 200 Link zur Publikation

### On the use of constraints in molecular and geophysical fluid dynamics

#### Autoren: S. Reich and T. Hundertmark (2011)

Zeitschrift:
European Physical Journal Special Topics
Seiten:
259-270
Band:
200

2011 | New Hybrid Monte Carlo Methods for Efficient Sampling: from Physics to Biology and Statistics | E. Akhmatskaya and S. Reich Zeitschrift: Progress in Nuclear Science and Technology Seiten: 447-462 Band: 2 Link zur Publikation

### New Hybrid Monte Carlo Methods for Efficient Sampling: from Physics to Biology and Statistics

#### Autoren: E. Akhmatskaya and S. Reich (2011)

Zeitschrift:
Progress in Nuclear Science and Technology
Seiten:
447-462
Band:
2

2011 | Meso-GSHMC: A stochastic algorithm for meso-scale constant temperature simulations | E. Akhmatskaya and S. Reich Zeitschrift: Procedia Computer Science Seiten: 1353-1362 Band: 4 Link zur Publikation

### Meso-GSHMC: A stochastic algorithm for meso-scale constant temperature simulations

#### Autoren: E. Akhmatskaya and S. Reich (2011)

Zeitschrift:
Procedia Computer Science
Seiten:
1353-1362
Band:
4

2011 | Controlling overestimation of error covariance in ensemble Kalman filters with sparse observations: A variance limiting Kalman filter | G. Gottwald, L. Mitchell and S. Reich, Zeitschrift: Monthly Weather Review Seiten: 2650-2667 Band: 139 Link zur Publikation

### Controlling overestimation of error covariance in ensemble Kalman filters with sparse observations: A variance limiting Kalman filter

#### Autoren: G. Gottwald, L. Mitchell and S. Reich, (2011)

Zeitschrift:
Monthly Weather Review
Seiten:
2650-2667
Band:
139

2011 | A multigrid solver for modeling complex interseismic stress fields | S. Shin, G. Zoeller, M. Holschneider and S. Reich Zeitschrift: Computers & Geosciences Seiten: 1075-1082 Band: 37 Link zur Publikation

### A multigrid solver for modeling complex interseismic stress fields

#### Autoren: S. Shin, G. Zoeller, M. Holschneider and S. Reich (2011)

Zeitschrift:
Computers & Geosciences
Seiten:
1075-1082
Band:
37

2011 | A dynamical systems framework for intermittent data assimilation | S. Reich Zeitschrift: BIT Numerical Analysis Seiten: 235-249 Band: 51 Link zur Publikation

### A dynamical systems framework for intermittent data assimilation

#### Autoren: S. Reich (2011)

Zeitschrift:
BIT Numerical Analysis
Seiten:
235-249
Band:
51

2011 | Foliations of asymptotically flat manifolds by surfaces of Willmore type | Tobias Lamm, Jan Metzger and Felix Schulze Zeitschrift: Math. Ann. Seiten: 1-78 Band: 350 Link zur Publikation

### Foliations of asymptotically flat manifolds by surfaces of Willmore type

#### Autoren: Tobias Lamm, Jan Metzger and Felix Schulze (2011)

Zeitschrift:
Math. Ann.
Seiten:
1-78
Band:
350

2011 | Spiele zur Unterrichtsgestaltung. Mathematik | Heiko Etzold, Ines Petzschler Verlag: Mülheim an der Ruhr

### Spiele zur Unterrichtsgestaltung. Mathematik

#### Autoren: Heiko Etzold, Ines Petzschler (2011)

Verlag:
Mülheim an der Ruhr

2011 | On type-I singularities in Ricci flow | Jörg Enders, Reto Müller, Peter Topping Zeitschrift: Comm. Anal. Geom. Seiten: 905-922 Band: 19 Link zur Publikation

### On type-I singularities in Ricci flow

#### Autoren: Jörg Enders, Reto Müller, Peter Topping (2011)

Zeitschrift:
Comm. Anal. Geom.
Seiten:
905-922
Band:
19

2011 | Continuous-time multitype branching processes conditioned on very late extinction | S. Pénisson Zeitschrift: ESAIM: P. & S. Seiten: 417-442 Band: 15 Link zur Publikation

### Continuous-time multitype branching processes conditioned on very late extinction

#### Autoren: S. Pénisson (2011)

Zeitschrift:
ESAIM: P. & S.
Seiten:
417-442
Band:
15

2011 | The Papangelou process. A concept for Gibbs, Fermi and Bose process | B. Nehring Zeitschrift: Izv. Nats. Akad. Nauk Armenii Mat. Seiten: 49-66 Band: 46-6 Link zur Publikation

### The Papangelou process. A concept for Gibbs, Fermi and Bose process

#### Autoren: B. Nehring (2011)

Zeitschrift:
Izv. Nats. Akad. Nauk Armenii Mat.
Seiten:
49-66
Band:
46-6

2011 | Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise. | A. Debussche,M. Högele, P. Imkeller Zeitschrift: Electron. Commun. Probab. Seiten: 213-225 Band: 16 Link zum Preprint

### Asymptotic first exit times of the Chafee-Infante equation with small heavy-tailed Lévy noise.

#### Autoren: A. Debussche,M. Högele, P. Imkeller (2011)

Zeitschrift:
Electron. Commun. Probab.
Seiten:
213-225
Band:
16

2011 | Social Functions of School Mathematics | David Kollosche Buchtitel: Pytlak; Rowland & Swoboda (Hg.) Proceedings of the 7th Congress of the European Society for Research in Mathematics Education. Uniwersytet Rzeszowski.

### Social Functions of School Mathematics

#### Autoren: David Kollosche (2011)

Buchtitel:
Pytlak; Rowland & Swoboda (Hg.) Proceedings of the 7th Congress of the European Society for Research in Mathematics Education. Uniwersytet Rzeszowski.

2011 | Surveys in Stochastic Processes | S. Roelly (Ed.) Reihe: Series of Congress Reports Verlag: EMS Buchtitel: Surveys in Stochastic Processes Link zur Publikation

### Surveys in Stochastic Processes

#### Autoren: S. Roelly (Ed.) (2011)

Reihe:
Series of Congress Reports
Verlag:
EMS
Buchtitel:
Surveys in Stochastic Processes

2011 | Coregular Semigroups of full Transformations | Ilinka Dimitrova, Jörg Koppitz Zeitschrift: Demonstratio Mathematica Seiten: 739-753 Band: XLIV/4

### Coregular Semigroups of full Transformations

#### Autoren: Ilinka Dimitrova, Jörg Koppitz (2011)

Zeitschrift:
Demonstratio Mathematica
Seiten:
739-753
Band:
XLIV/4

2011 | The maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations | Ilinka Dimitrova, Jörg Koppitz Zeitschrift: Semigroup Forum Seiten: 172-180 Band: 82

### The maximal regular subsemigroups of ideals of order-preserving or order-reversing transformations

#### Autoren: Ilinka Dimitrova, Jörg Koppitz (2011)

Zeitschrift:
Semigroup Forum
Seiten:
172-180
Band:
82

2011 | Asymptotic Eigenfunctions for a class of difference operators | Markus Klein, Elke Rosenberger Zeitschrift: Asymptotic Analysis Seiten: 1 – 36 Band: 73, Nr. 1-2 Link zur Publikation

### Asymptotic Eigenfunctions for a class of difference operators

#### Autoren: Markus Klein, Elke Rosenberger (2011)

We analyze a general class of difference operators on ), where is a one-well potential and is a small parameter.

We construct formal asymptotic expansions of WKB-type for eigenfunctions associated with the low lying eigenvalues of . These are obtained from eigenfunctions or quasimodes for the operator , acting on , via restriction to the lattice .

Zeitschrift:
Asymptotic Analysis
Seiten:
1 – 36
Band:
73, Nr. 1-2

2011 | The local Rademacher complexity of lp-norm multiple kernel learning | Kloft, M., Blanchard, G. Zeitschrift: Advances in Neural Information Processing Systems (NIPS 2011) Seiten: 2438-2446

### The local Rademacher complexity of lp-norm multiple kernel learning

#### Autoren: Kloft, M., Blanchard, G. (2011)

Zeitschrift:
Advances in Neural Information Processing Systems (NIPS 2011)
Seiten:
2438-2446

2011 | Wiener Measures on Riemannian Manifolds and the Feynman-Kac Formula | Christian Bär, Frank Pfäffle Zeitschrift: Mat. Contemp. Verlag: Sociedade Brasileira de Matematica Seiten: 37-90 Band: 40 Link zur Publikation, Link zum Preprint

### Wiener Measures on Riemannian Manifolds and the Feynman-Kac Formula

#### Autoren: Christian Bär, Frank Pfäffle (2011)

This is an introduction to Wiener measure and the Feynman-Kac formula on general Riemannian manifolds for Riemannian geometers with little or no background in stochastics. We explain the construction of Wiener measure based on the heat kernel in full detail and we prove the Feynman-Kac formula for Schr\"odinger operators with L-potentials. We also consider normal Riemannian coverings and show that projecting and lifting of paths are inverse operations which respect the Wiener measure.

Zeitschrift:
Mat. Contemp.
Verlag:
Seiten:
37-90
Band:
40

2011 | Generalizing from several related classification tasks to a new unlabeled sample | Blanchard, G., Lee, G., Scott, C. Zeitschrift: Advances in neural information processing systems (NIPS 2011) Seiten: 2178-2186

### Generalizing from several related classification tasks to a new unlabeled sample

#### Autoren: Blanchard, G., Lee, G., Scott, C. (2011)

Zeitschrift:
Advances in neural information processing systems (NIPS 2011)
Seiten:
2178-2186

2011 | The Holst Action by the Spectral Action Principle | Frank Pfäffle, Christoph Stephan Zeitschrift: Comm. Math. Phys. Verlag: Springer Seiten: 261-273 Band: 307, no. 1 Link zur Publikation, Link zum Preprint

### The Holst Action by the Spectral Action Principle

#### Autoren: Frank Pfäffle, Christoph Stephan (2011)

We investigate the Holst action for closed Riemannian 4-manifolds with orthogonal connections. For connections whose torsion has zero Cartan type component we show that the Holst action can be recovered from the heat asymptotics for the natural Dirac operator acting on left-handed spinor fields.

Zeitschrift:
Comm. Math. Phys.
Verlag:
Springer
Seiten:
261-273
Band:
307, no. 1

2011 | Application of classical Kolmogorov, Cramér-von-Mises-Smirnov and Anderson-Darling Tests for censored samples | Hannelore Liero, Ekatarina Chimitova, Maria Vedernikova Buchtitel: Proc. Workshop Applied Methods of Statistical Analysis AMSA´2011. Novosibirsk 2011 Seiten: 176-185

### Application of classical Kolmogorov, Cramér-von-Mises-Smirnov and Anderson-Darling Tests for censored samples

#### Autoren: Hannelore Liero, Ekatarina Chimitova, Maria Vedernikova (2011)

Buchtitel:
Proc. Workshop Applied Methods of Statistical Analysis AMSA´2011. Novosibirsk 2011
Seiten:
176-185

2011 | Goodness of Fit, Smoothing and Resampling under Censoring | Hannelore Liero Buchtitel: Proc. Workshop Applied Methods of Statistical Analysis AMSA´2011}. Novosibirsk 2011 Seiten: 127-132

### Goodness of Fit, Smoothing and Resampling under Censoring

#### Autoren: Hannelore Liero (2011)

Buchtitel:
Proc. Workshop Applied Methods of Statistical Analysis AMSA´2011}. Novosibirsk 2011
Seiten:
127-132

2010 | Drug-Class Specific Impact of Antivirals on the Reproductive Capacity of HIV | M. von Kleist, S. Menz, W. Huisinga Zeitschrift: PLoS Comput Biol Band: 6(3) Link zur Publikation, e1000720

### Drug-Class Specific Impact of Antivirals on the Reproductive Capacity of HIV

#### Autoren: M. von Kleist, S. Menz, W. Huisinga (2010)

Zeitschrift:
PLoS Comput Biol
Band:
6(3)

2010 | Quantifying uncertainty, variability and likelihood for ordinary differential equation models | A. Y. Weiße, R. Middleton, W. Huisinga Zeitschrift: BMC Systems Biology Band: 4 Link zur Publikation

### Quantifying uncertainty, variability and likelihood for ordinary differential equation models

#### Autoren: A. Y. Weiße, R. Middleton, W. Huisinga (2010)

Zeitschrift:
BMC Systems Biology
Band:
4

2010 | Lumping of Physiologically Based Pharmacokinetic Models and a Mechanistic Derivation of Classical Compartmental Models | S. Pilari, W. Huisinga Zeitschrift: J. Pharmacokinet. Pharmacodyn. Seiten: 365-405 Band: 37 Link zur Publikation

### Lumping of Physiologically Based Pharmacokinetic Models and a Mechanistic Derivation of Classical Compartmental Models

#### Autoren: S. Pilari, W. Huisinga (2010)

Zeitschrift:
J. Pharmacokinet. Pharmacodyn.
Seiten:
365-405
Band:
37

2010 | Eine gute Dosis Mathematik - Modellbasierte Arzneimittelentwicklung am Beispiel therapeutischer Proteine | W. Huisinga, B.-F. Krippendorff Zeitschrift: Systembiologie.de, Ausg. 02, December 2010 Link zur Publikation

### Eine gute Dosis Mathematik - Modellbasierte Arzneimittelentwicklung am Beispiel therapeutischer Proteine

#### Autoren: W. Huisinga, B.-F. Krippendorff (2010)

Zeitschrift:
Systembiologie.de, Ausg. 02, December 2010

2010 | On Finite Functions with Non-trivial Arity Gap | Shtrakov, Sl. and Koppitz, J. Zeitschrift: Discussiones Mathematicae General Algebra and Applications Band: 30

### On Finite Functions with Non-trivial Arity Gap

#### Autoren: Shtrakov, Sl. and Koppitz, J. (2010)

Zeitschrift:
Discussiones Mathematicae General Algebra and Applications
Band:
30

2010 | On some Anti-inverse Transformation Semigroups | Dimitrova, I. and Koppitz, J. Zeitschrift: Comptes redndus de IAcadémie bulgare des Sciences Band: 63 no. 6

### On some Anti-inverse Transformation Semigroups

#### Autoren: Dimitrova, I. and Koppitz, J. (2010)

Zeitschrift:
Comptes redndus de IAcadémie bulgare des Sciences
Band:
63 no. 6

2010 | he relationship between proper and inner hypersubstitutions for varieties of rings | Koppitz, J. and Musunthia, T. Zeitschrift: Novi Sad J. Math Band: 40 n0. 3

### he relationship between proper and inner hypersubstitutions for varieties of rings

#### Autoren: Koppitz, J. and Musunthia, T. (2010)

Zeitschrift:
Band:
40 n0. 3

2010 | Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation | Matthias Keller, Daniel Lenz Zeitschrift: Mathematical Modeling of Natural Phenomena Buchtitel: "Spectral Problems" Seiten: 198-204 Band: 5 Link zur Publikation, Link zum Preprint

### Unbounded Laplacians on Graphs: Basic Spectral Properties and the Heat Equation

#### Autoren: Matthias Keller, Daniel Lenz (2010)

We discuss Laplacians on graphs in a framework of regular Dirichlet forms. We focus on phenomena related to unboundedness of the Laplacians. This includes (failure of) essential selfadjointness, absence of essential spectrum and stochastic incompleteness.

Zeitschrift:
Mathematical Modeling of Natural Phenomena
Buchtitel:
"Spectral Problems"
Seiten:
198-204
Band:
5

2010 | The essential spectrum of the Laplacian on rapidly branching tessellations | Matthias Keller Zeitschrift: Mathematische Annalen Seiten: 51-66 Band: 346 Link zur Publikation, Link zum Preprint

### The essential spectrum of the Laplacian on rapidly branching tessellations

#### Autoren: Matthias Keller (2010)

In this paper, we characterize absence of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover, we present a characterization for absence of the essential spectrum for planar tessellations in terms of curvature.

Zeitschrift:
Mathematische Annalen
Seiten:
51-66
Band:
346

2010 | Impact of the receiver fault distribution on aftershock activity | Sebastian Hainzl, Gert Zöller, and Ronjang Wang Zeitschrift: J. Geophys. Res. Verlag: American Geophysical Union Seiten: B05315 Band: 115 Link zur Publikation

### Impact of the receiver fault distribution on aftershock activity

#### Autoren: Sebastian Hainzl, Gert Zöller, and Ronjang Wang (2010)

Zeitschrift:
J. Geophys. Res.
Verlag:
American Geophysical Union
Seiten:
B05315
Band:
115

2010 | Recurrence of large earthquakes: Bayesian inference from catalogs in the presence of magnitude uncertainties | Gert Zöller, Sebastian Hainzl, Matthias Holschneider Zeitschrift: Pure Appl. Geophys Verlag: Springer Seiten: 845-853 Band: 167 Link zur Publikation

### Recurrence of large earthquakes: Bayesian inference from catalogs in the presence of magnitude uncertainties

#### Autoren: Gert Zöller, Sebastian Hainzl, Matthias Holschneider (2010)

Zeitschrift:
Pure Appl. Geophys
Verlag:
Springer
Seiten:
845-853
Band:
167

2010 | A multigrid solver for modeling complex interseismic stress fields | Seoleun Shin, Gert Zöller, Matthias Holschneider, Sebastian Reich Zeitschrift: Comp. Geosci. Verlag: Elsevier Seiten: 1075-1082 Band: 37 Link zur Publikation

### A multigrid solver for modeling complex interseismic stress fields

#### Autoren: Seoleun Shin, Gert Zöller, Matthias Holschneider, Sebastian Reich (2010)

Zeitschrift:
Comp. Geosci.
Verlag:
Elsevier
Seiten:
1075-1082
Band:
37

2010 | Quantitative earthquake forecasts resulting from static stress-triggering | Sebastian Hainzl, Gilbert Brietzke, Gert Zöller Zeitschrift: J. Geophys. Res. Verlag: American Geophysical Union Seiten: B11311 Band: 115 Link zur Publikation

### Quantitative earthquake forecasts resulting from static stress-triggering

#### Autoren: Sebastian Hainzl, Gilbert Brietzke, Gert Zöller (2010)

Zeitschrift:
J. Geophys. Res.
Verlag:
American Geophysical Union
Seiten:
B11311
Band:
115

2010 | Steady-state solutions of rupture propagation in an earthquake simulator governed by rate and state dependent friction | Gert Zöller, Sebastian Hainzl, Matthias Holschneider, Gilbert Brietzke Zeitschrift: Eur. Phys. J. Spec. Top. Verlag: Springer Seiten: 105-115 Band: 191 Link zur Publikation

### Steady-state solutions of rupture propagation in an earthquake simulator governed by rate and state dependent friction

#### Autoren: Gert Zöller, Sebastian Hainzl, Matthias Holschneider, Gilbert Brietzke (2010)

Zeitschrift:
Eur. Phys. J. Spec. Top.
Verlag:
Springer
Seiten:
105-115
Band:
191

2010 | Frames of poisson wavelets on the sphere | I. Iglewska-Nowak and M Holschneider Zeitschrift: ACHA Seiten: 227--248 Band: 28(2):

### Frames of poisson wavelets on the sphere

#### Autoren: I. Iglewska-Nowak and M Holschneider (2010)

Zeitschrift:
ACHA
Seiten:
227--248
Band:
28(2):

2010 | Microsaccade characterization using the continuous wavelet transform and principal component analysis | M. Bettenbühl, C. Paladini, K. Mergenthaler, R. Kliegl, R. Engbert, and M. Holschneider Zeitschrift: Journal of Eye Movement Research Seiten: 1--14. Band: 1(3(5)):

### Microsaccade characterization using the continuous wavelet transform and principal component analysis

#### Autoren: M. Bettenbühl, C. Paladini, K. Mergenthaler, R. Kliegl, R. Engbert, and M. Holschneider (2010)

Zeitschrift:
Journal of Eye Movement Research
Seiten:
1--14.
Band:
1(3(5)):

2010 | Error distribution in regional inversion of potential fields from satellite data | Reyko Schachtschneider, Matthias Holschneider, and Mioara Mandea Zeitschrift: Geophys. J. Int. Seiten: 1428--1440 Band: 181

### Error distribution in regional inversion of potential fields from satellite data

#### Autoren: Reyko Schachtschneider, Matthias Holschneider, and Mioara Mandea (2010)

Zeitschrift:
Geophys. J. Int.
Seiten:
1428--1440
Band:
181

2010 | Convergence rate analysis of the first stage Runge-Kutta-type regularizations | P. Pornsawad, C. Böckmann Zeitschrift: Inverse Problems Band: 26 Link zur Publikation

### Convergence rate analysis of the first stage Runge-Kutta-type regularizations

#### Autoren: P. Pornsawad, C. Böckmann (2010)

Zeitschrift:
Inverse Problems
Band:
26

2010 | RETRIEVAL OF AEROSOL EXTINCTION COEFFICIENT PROFILES FROM RAMAN LIDAR SIGNALS | C. Böckmann, P. Pornsawad, G. D’Amico, A. Amodeo, G. Pappalardo Zeitschrift: Proc. 25th International Lidar Radar Conference Seiten: 1--4

### RETRIEVAL OF AEROSOL EXTINCTION COEFFICIENT PROFILES FROM RAMAN LIDAR SIGNALS

#### Autoren: C. Böckmann, P. Pornsawad, G. D’Amico, A. Amodeo, G. Pappalardo (2010)

Zeitschrift:
Proc. 25th International Lidar Radar Conference
Seiten:
1--4

2010 | THE COMMON CALCULUS CHAIN DEVELOPED IN THE FRAME OF EARLINET | A. Amodeo, G. D’Amico, I. Mattis,..C. Böckmann, et al Zeitschrift: Proc. 25th International Lidar Radar Conference Seiten: 1--4

### THE COMMON CALCULUS CHAIN DEVELOPED IN THE FRAME OF EARLINET

#### Autoren: A. Amodeo, G. D’Amico, I. Mattis,..C. Böckmann, et al (2010)

Zeitschrift:
Proc. 25th International Lidar Radar Conference
Seiten:
1--4

2010 | From LIDAR Signals to Aerosol Microphysics by Regularization | C. Böckmann, P. Pornsawad, L. Osterloh, A. Papayannis, A. Amodeo Zeitschrift: Proc. International Geoscience and Remote Sensing Symposium Seiten: 1--4

### From LIDAR Signals to Aerosol Microphysics by Regularization

#### Autoren: C. Böckmann, P. Pornsawad, L. Osterloh, A. Papayannis, A. Amodeo (2010)

Zeitschrift:
Proc. International Geoscience and Remote Sensing Symposium
Seiten:
1--4

2010 | Ensemble Kalman and H_infty filters. | S. Reich Zeitschrift: AIP Conf. Proc. Seiten: 19-22 Band: 1281 Link zur Publikation

### Ensemble Kalman and H_infty filters.

#### Autoren: S. Reich (2010)

Zeitschrift:
AIP Conf. Proc.
Seiten:
19-22
Band:
1281

2010 | A mollified ensemble Kalman filter. | K. Bergemann and S. Reich, Zeitschrift: Q.J.R. Meteorolog. Soc. Seiten: 1636-1643 Band: 136 Link zur Publikation

### A mollified ensemble Kalman filter.

#### Autoren: K. Bergemann and S. Reich, (2010)

Zeitschrift:
Q.J.R. Meteorolog. Soc.
Seiten:
1636-1643
Band:
136

2010 | A localization technique for ensemble Kalman filters | K. Bergemann and S. Reich Zeitschrift: Q.J.R. Meterolog. Soc Seiten: 701-707 Band: 136 Link zur Publikation

### A localization technique for ensemble Kalman filters

#### Autoren: K. Bergemann and S. Reich (2010)

Zeitschrift:
Q.J.R. Meterolog. Soc
Seiten:
701-707
Band:
136

2010 | Evaluation of three spatial discretization schemes with the Galewsky et al. test | S. Shin, M. Sommer, S. Reich and P. Nevir Zeitschrift: Atmospheric Science Letters Seiten: 223-228 Band: 11 Link zur Publikation

### Evaluation of three spatial discretization schemes with the Galewsky et al. test

#### Autoren: S. Shin, M. Sommer, S. Reich and P. Nevir (2010)

Zeitschrift:
Atmospheric Science Letters
Seiten:
223-228
Band:
11

2010 | Phase space volume conservation under space and time discretization schemes for the shallow-water equations | M. Sommer and S. Reich Zeitschrift: Monthly Weather Review Seiten: 4229-4236 Band: 138 Link zur Publikation

### Phase space volume conservation under space and time discretization schemes for the shallow-water equations

#### Autoren: M. Sommer and S. Reich (2010)

Zeitschrift:
Monthly Weather Review
Seiten:
4229-4236
Band:
138

2010 | Surfaces with maximal constant mean curvature | Jan Metzger Zeitschrift: Comm. Anal. Geom. Seiten: 627-647 Band: 18 Link zur Publikation

### Surfaces with maximal constant mean curvature

#### Autoren: Jan Metzger (2010)

Zeitschrift:
Comm. Anal. Geom.
Seiten:
627-647
Band:
18

2010 | Small surfaces of Willmore type in Riemannian manifolds | Tobias Lamm and Jan Metzger Zeitschrift: Intl. Math. Res. Notices Seiten: 3786-3813 Band: 2010 Link zur Publikation

### Small surfaces of Willmore type in Riemannian manifolds

#### Autoren: Tobias Lamm and Jan Metzger (2010)

Zeitschrift:
Intl. Math. Res. Notices
Seiten:
3786-3813
Band:
2010

2010 | Blowup of Jang’s equation at outermost marginally trapped surfaces | Jan Metzger Zeitschrift: Comm. Math. Phys. Seiten: 61-72 Band: 294 Link zur Publikation

### Blowup of Jang’s equation at outermost marginally trapped surfaces

#### Autoren: Jan Metzger (2010)

Zeitschrift:
Comm. Math. Phys.
Seiten:
61-72
Band:
294

2010 | Short-time Gibbsianness for Infinite-dimensional Diffusions with Space-Time Interaction | F. Redig, S. Roelly, W. Ruszel Zeitschrift: J. Stat. Phys. Seiten: 1124-1144" Band: 138 Link zur Publikation, Link zum Preprint

### Short-time Gibbsianness for Infinite-dimensional Diffusions with Space-Time Interaction

#### Autoren: F. Redig, S. Roelly, W. Ruszel (2010)

Zeitschrift:
J. Stat. Phys.
Seiten:
1124-1144"
Band:
138

2010 | Infinitely many Brownian globules with Brownian radii | M. Fradon, S. Roelly Zeitschrift: Stoch. Dyn. Seiten: 591-612 Band: 10 Link zur Publikation, Link zum Preprint

### Infinitely many Brownian globules with Brownian radii

#### Autoren: M. Fradon, S. Roelly (2010)

Zeitschrift:
Stoch. Dyn.
Seiten:
591-612
Band:
10

2010 | User Interface Design for Dynamic Geometry Software | Ulrich Kortenkamp, Christian Dohrmann Zeitschrift: Proceedings of CADGME 2009 Reihe: 3 Seiten: 59-66 Band: 2 Link zur Publikation

### User Interface Design for Dynamic Geometry Software

#### Autoren: Ulrich Kortenkamp, Christian Dohrmann (2010)

Zeitschrift:
Reihe:
3
Seiten:
59-66
Band:
2

2010 | A Sobolev Poincaré type inequality for integral varifolds | Ulrich Menne Zeitschrift: Calc. Var. Partial Differential Equations Seiten: 369-408 Band: 38(3-4) Link zur Publikation, Link zum Preprint

### A Sobolev Poincaré type inequality for integral varifolds

#### Autoren: Ulrich Menne (2010)

In this work a local inequality is provided which bounds the distance of an