Groups and Dynamics Seminar

Date: May 13, 2020

Time: 12:00PM - 1:00PM

Location: 940 9667 3668

Speaker: Joshua Frisch, Caltech

Title: The Poisson Boundary and the ICC property

Abstract: The Poisson Boundary of a random walk on a group is a space which describes the set of possible tail behaviors of the random walk. It has long been known that abelian and nilpotent groups always have trivial Poisson Boundary (groups with this property are called Choquet Deny) and that non-amenable groups never have trivial Poisson Boundary. In this talk I will define the Poisson Boundary, discuss some of these results and prove a new one, classifying exactly which groups are Choquet Deny. This is joint work with Yair Hartman, Omer Tamuz, and Pooya Vahidi Ferdowsi. ZOOM ID: 940 9667 3668