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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 288: Probability & Statistics
Kunal Chawla
Princeton University
The Poisson boundary of hyperbolic groups without moment conditions
Abstract:
Given a random walk on a countable group, the Poisson boundary is a measure space which captures all asymptotic events of the markov chain. The Poisson boundary can sometimes be identified with a concrete geometric "boundary at infinity", but almost all previous results relied strongly on moment conditions of the random walk. I will discuss a technique which allows us to identify the Poisson boundary on any group with hyperbolic properties without moment conditions, new even in the free group case, making progress on a question of Kaimanovich and Vershik. This is joint work with Behrang Forghani, Joshua Frisch, and Giulio Tiozzo.
February 13, 2025
11:00 AM
APM 6402
Research Areas
Probability Theory****************************
