PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu, Amy Hanley.

Title:Random walk parameters and the geometry of groups
Seminar:Department of Mathematics Colloquium
Speaker:Tianyi Zheng, Stanford University
The first characterization of groups by an asymptotic description of random walks on their Cayley graphs dates back to Kesten’s criterion of amenability. I will first review some connections between the random walk parameters and the geometry of the underlying groups. I will then discuss a flexible construction that gives solution to the inverse problem (given a function, find a corresponding group) for large classes of speed, entropy and return probability and Hilbert compression functions of groups of exponential volume growth. Based on joint work with Jeremie Brieussel.

Room Reservation Information

Room Number:MB114
Date:01 / 14 / 2016
Time:03:35pm - 04:35pm