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Choquet-Deny groups and the infinite conjugacy class property

ANNALS OF MATHEMATICS, no. 1 (2019): 307-320

Cited by: 3|Views8

Abstract

A countable discrete group G is called Choquet-Deny if for every non-degenerate probability measure mu on G, it holds that all bounded mu-harmonic functions are constant. We show that a finitely generated group G is Choquet-Deny if and only if it is virtually nilpotent. For general countable discrete groups, we show that G is Choquet-Deny...More

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Author
Joshua Frisch
Joshua Frisch
Pooya Vahidi Ferdowsi
Pooya Vahidi Ferdowsi
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