Aspects of random walks on groups

ABSTRACT: Random walks on groups and their limiting behavior are closely tied to harmonic functions on these groups. I will explain some new results relating the growth of harmonic functions
to the entropy of the random walk and also present some open problems. The methods refine and improve the classical work of Kaimanovich and Vershik From the 1980s.
The talk is mostly based on joint work with H. Duminil, G. Kozma and A. Yadin.


BIO: 
Itai Benjamini is a Professor at the Weizmann Institute of Science, Rehovot, Israel. He received his PhD from the Hebrew University in 1992.   This year, he was an IMS Medallion lecturer and also presented a course in the St Flour probability summer school.