On Pinsker factors for Rokhlin entropy
classification
🧮 math.DS
keywords
factorpinskersystementropyrokhlinatomsdynamicalergodic
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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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