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arXiv:math/0409252 [math.DS]AbstractReferencesReviewsResources

Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries

Jon Aaronson, Mariusz Lemanczyk

Published 2004-09-15, updated 2004-11-22Version 4

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.

Journal: as in Algebraic and topological dynamics, 77--87, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
Categories: math.DS, math.PR
Subjects: 37A20, 37A15, 37A40, 60B15, 60J50
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