A Riesz' Decomposition Theorem for Schrödinger Operators On Graphs

28.11.2018, 16:30 Uhr  –  Campus Golm, Haus 9, Raum 2.09.1.10
Forschungsseminar Diskrete Spektraltheorie

Florian Fischer (Universität Potsdam)

In the classical potential theory on Euclidean space and in the potential theory of transient Markov chains a unique decomposition of superharmonic functions in a harmonic and a potential part is well-known. In this talk the basic concepts and ideas to gain such a decomposition for Schrödinger operators on graphs will be shown.

The talk will be the defense of my master's thesis. A more general main theorem than on my Ph.D. day talk earlier this year will be achieved.