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.