EVENT DETAILS AND ABSTRACT

Title: Random Walks on Groups of Intermediate Volume Growth
Speaker: Tianyi Zheng
Speaker Info: University of California, San Diego
Brief Description:
Special Note:
Abstract:

Groups of intermediate growth were first constructed by Grigorchuk in the early 1980s. Such groups have extraordinary algebraic and geometric properties, providing examples and counterexamples to many questions in group theory. The main focus of the talk will be on near optimal volume growth lower estimates of Grigorchuk groups coming from random walks with nontrivial Poisson boundary on these groups. We will also discuss some results on joint behavior of volume growth and random walk entropy/rate of escape.