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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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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****************************
