Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries
Dynamical Systems
2007-05-23 v4 Probability
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.
Keywords
Cite
@article{arxiv.math/0409252,
title = {Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries},
author = {Jon Aaronson and Mariusz Lemanczyk},
journal= {arXiv preprint arXiv:math/0409252},
year = {2007}
}