Universität Potsdam - Institut für Mathematik
- (with M.Arnaudon) Factorisation of semi-martingales on principal fibre bundles, Stochastics and Stochastic Reports 53, p. 81-107 (1995)
- (with M. Arnaudon) Sochastic tools on Hilbert manifolds; Interplay with geometry and physics, Comm. Math. Phys, 187, p.243-260 (1997)
- (with S. Rosenberg) Curvature on determinant bundles and first Chern forms, Journ. Geom. Phys. 45, p.393-429 (2003)
- Renormalised multiple integrals of symbols with linear constraints, Comm. Math. Phys. 266, p. 495-540 (2006)
- (with S. Scott) A Laurent expansion for regularised integrals of holomorphic symbols, Geom. And Funct. Anal.(2) 17, p. 491-536 (2007)
- (with J.-M. Lescure) Traces on pseudodifferential operators and associated determinants, Proc. London Math. Soc. (2) 94, p. 772-812 (2007)
- (Second) quantised resolvents and regularised traces, Journ. Geom. Phys. 57, p. 1345-1369 (2007)
- (with J. Mickelsson) Renormalised Chern-Weil forms associated with families of Dirac operators, Journ. Geom. Phys. 57, p. 1789-1814 (2007)
- (with D. Manchon) Shuffle relations for regularised integrals of symbols, Comm. Math. Phys. 270, p. 13-51 (2007)
- (with D. Manchon) Nested sums of symbols and renormalised multiple zeta values, Int. Math. Research Notices, Vol 2010, N. 24, p. 4628-4697
- A canonical trace associated with spectral triples, SIGMA 6 (2010), 077, 17 pages (http://www.emis.de/journals/SIGMA/2010/077/)
- (with J. Mickelsson) The logarithmic residue density of a generalized Laplacian, Journal of the Austral. Math. Soc. Vol. 90, N. 01, p. 53 -- 80 (2011)
- Noncommutative formal Taylor expansions and second quantised regularised traces, in Combinatorics and Physics, (Ed. K. Ebrahimi-Fard, M. Marcolli, W.D. van Suijlekom) Contemporary Mathematics 539, p. 349-376, Amer. Math. Soc. (2011)
- (with L.Guo and B. Zhang) Renormalization by Birkhoff factorization and by generalized evaluators; a study case in "Noncommutative Geometry, Arithmetic and Related Topics", (Ed. A. Connes, K. Consani) John Hopkins Univ. Press p. 183-- 211 (2011)
- (book) Regularised integrals, sums and traces; analytic aspects, Amer. Math. Soc. Univ. Lecture Notes, Vol. 59 (2012)
- (with M-F. Ouedraogo) The multiplicative anomaly for determinants revisited; locality, Comm. Math. Annal. 12 p. 28-63 (2012)
- Affine transformations on symbols, in Analysis, Geometry and Quantum Field Theory, (Ed. C. L. Aldana, M. Braverman, B. Iochum, C. Neira Jimenez), Contemporary Mathematics 584, Amer. Math. Soc. p. 199--222 (2012)
- (with L. Guo and B. Zhang) Counting an infinite number of points: a testing ground for renormalization methods, "Topological and geometric methods for quantum field theory", Villa de Leyva, World Scientific (2013)
- (with L. Guo and B. Zhang) Conical zeta values and their double subdivision relations, Adv. in Math. 252 p. 343-381 (2014)
- (with C. Lévy and C. Neira-Jimenez) The canonical trace and the noncommutative residue on the noncommutative torus, Trans. Amer. Math. Soc., 368, N. 2, 1051-1095 (2016)
- (with L. Guo and B. Zhang) Algebraic Birkhoff Factorization and the Euler-Maclaurin formula on cones, Duke Math. Journ. 166, p. 537--571 (2016)
- (with L. Guo and B. Zhang) Algebraic Birkhoff Factorization and the Euler-Maclaurin formula on cones}, Duke Math. Journ. 166, N.3, 537-571 (2017)
- (with L. Guo and B. Zhang) Renormalised conical zeta values, in "Resurgence, Physics and Numbers", Ed. F. Fauvet, D. Manchon, S. Marmi, D. Sauzin, Publications of the Scuola Normale Superiore, volume 20, 299-326 (2017)
- (with P. Clavier, L. Guo and B. Zhang) An algebraic formulation of the locality principle in renormalization, European Journal of Mathematics (2018) https://doi.org/10.1007/s40879-018-0255-8, arXiv:1711.00884
- (with S. Azzali) Spectral ζ-invariants lifted to coverings, to appear in Trans. Amer. Math. Soc. 373 (2020) 6185-6226
- (with L. Guo and B. Zhang) A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles, Pacific Journ. Math. Vol. 307 (2020) 159–196
- (with L. Guo, P. Clavier and B. Zhang) From Orthocomplementations to Locality, Symmetry, Integrability and Geometry: Methods and Applications SIGMA 17 (2021) (23 pages) https://www.emis.de/journals/SIGMA/Landi.html
- (with P. Clavier, L.Foissy, S. Paycha) From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions, to appear in the European Journal of Mathematics (2022)
- (with C. Bellingeri, P. Friz and R. Preiss) Smooth rough paths, their geometry and algebraic renormalization, submitted to the Vietnam Journal of Mathematics (2022)
- (with L.Guo and B. Zhang) Locality Galois groups of meromorphic germs in several variables Commun. Math. Phys. (2024) 405:28 (DOI) https://doi.org/10.1007/s00220-023-04915-2
- (with S. Azzali, Y. Boutaıb and A. Frabetti) Direct connections on groupoids and their jet prolongations, Unpublished notes May 2022 (70 pages)