UBC Probability Seminar: Behrang Forghani
Topic
Harmonic measures and Poisson boundaries
Speakers
Details
The Poisson boundary of a random walk on a group is a probability space used to study the long-term behavior of the random walk. Because the group naturally acts on the Poisson boundary, various questions regarding the structure of this action can be studied. In this talk, I will show that the set of probability measures with equivalent harmonic measures may not necessarily form a convex algebra (a convex algebra is closed under convex combinations and convolutions). To provide such examples, I will compute the harmonic measures for some finitely supported probability measures on the modular group. This talk is based on joint work with Vadim Kaimanovich.
Event Type
Scientific, Seminar
Date
November 6, 2024
Time
-
Location