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arXiv · 1502.06036

On Pinsker factors for Rokhlin entropy

Andrei Alpeev
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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.

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Andrei Alpeev. 2015-02-20. On Pinsker factors for Rokhlin entropy. https://arxiv.org/abs/1502.06036

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