Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries

Details Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries

2004-09-15

arxiv.org/abs/math/0409252v4

as in Algebraic and topological dynamics, 77--87, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.

Mathematics

Dynamical Systems

Scientific paper

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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