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Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries

Jon Aaronson·Mariusz Lemanczyk
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Abstract

We give conditions for the exactness of Rokhlin endomorphisms, apply these to random walks on locally compact, second countable topological groups and obtain that the action on the Poisson boundary of an adapted random walk on such a group is weakly mixing.

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Jon Aaronson, Mariusz Lemanczyk. 2004-11-22. Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries. https://arxiv.org/abs/math/0409252

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