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Exactness of Rokhlin endomorphisms and weak mixing of Poisson boundaries
Jon Aaronson, Mariusz Lemanczyk
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…
A salad of cocycles
Jon. Aaronson, Mariusz Lemanczyk, Dalibor Volny
We study the centraliser of locally compact group extensions of ergodic probability preserving transformations. New methods establishing ergodicity of group extensions are introduc…
On the mixing coefficients of piecewise monotonic maps
Jon Aaronson, Hitoshi Nakada
We investigate the mixing coefficients of interval maps satisfying Rychlik's conditions. A mixing Lasota-Yorke map is reverse -mixing. If its invariant density is uniformly boun…
Occupation times of sets of infinite measure for ergodic transformations
Jon Aaronson, Maximilian Thaler, Roland Zweimueller
Assume that is a conservative ergodic measure preserving transformation of the infinite measure space .We study the asymptotic behaviour of occupation times…