Department of

Mathematics


Seminar Calendar
for events the day of Tuesday, December 15, 2015.

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Tuesday, December 15, 2015

4:30 pm in 245 Altgeld Hall,Tuesday, December 15, 2015

Random walk parameters and the geometry of groups

Tianyi Zheng (Stanford University)

Abstract: The first characterization of groups by an asymptotic description of random walks on their Cayley graphs dates back to Kestenís 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 of simple random walks on groups of exponential volume growth. Based on joint work with Jeremie Brieussel. View talk at https://youtu.be/ScOxXUOm02g