SEMINARIO di Probabilita' a Roma Tre il 16/10/14
Prof. Itai Benjamini(Weizmann Institute)Titolo: Simple random walk and harmonic functions on graphs.Giovedi' 16 Ottobre 2014 ORE 16:00Dipartimento di Matematica e FisicaUniversita' degli Studi Roma TreAULA 211 (Largo San L. Murialdo,1)AbstractFirst we will review a couple geometric invariants of graphs, such as the isoperimetric constant, hyperbolicity and vertextransitivity. Then we will discuss their manifestation in the behaviour of thesimple random walk on the graph, in particular the existence of nonconstant bounded harmonic functions. --