Choquet-Deny groups and the infinite conjugacy class property

Joshua Frisch
Joshua Frisch
Pooya Vahidi Ferdowsi
Pooya Vahidi Ferdowsi

Annals of Mathematics, pp. 307-320, 2019.

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摘要

A countable discrete group $G$ is said to be Choquet-Deny if it has a trivial Poisson boundary for every generating probability measure. We show that a finitely generated group $G$ is Choquet-Deny if and only if it is virtually nilpotent. Moreover, when $G$ is not virtually nilpotent, then the Poisson boundary is non-trivial for a generat...更多

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