MSc Seminar Random walks on trees and hyperbolic groups, SS 2021, Chiranjib Mukherjee, Konstantin Julian Recke

Simple random walks often behave differently on trees than on euclidean lattices. In particular, there is a deep connection between its speed, its tail behavior, its entropy and possession of non-constant bounded harmonic functions. We will look at some examples of these phenomena and see how such behavior extends to spaces which "look like" trees, i.e. Cayley graphs of hyperbolic groups.

Kurs im HIS-LSF