EVENT DETAILS AND ABSTRACT

Title: Random walks on lamplighters and related groups
Speaker: Tianyi Zheng
Speaker Info: UCSD
Brief Description:
Special Note:
Abstract:

Abstract: Random walks on lamplighter groups were first considered by Kaimanovich and Vershik to provide examples of amenable groups with nontrivial Poisson boundary. Such processes can be understood rather explicitly, and provide guidance in the study of random walks on more complicated groups. We will discuss a law of large numbers for random walks on the two-dimensional lamplighter group, and various questions regarding limiting behavior of random walks and the geometry of groups. Joint work with Anna Erschler.