On Pinsker factors for Rokhlin entropy
Dynamical Systems
2015-02-24 v1
Abstract
In this paper we will prove that any dynamical system posess the unique maximal factor of zero Rokhlin entropy, so-called Pinsker factor. It is proven also, that if the system is ergodic and this factor has no atoms then system is relatively weakly mixing extension of its Pinsker factor.
Cite
@article{arxiv.1502.06036,
title = {On Pinsker factors for Rokhlin entropy},
author = {Andrei Alpeev},
journal= {arXiv preprint arXiv:1502.06036},
year = {2015}
}