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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2015 Volume 432, Pages 30–35 (Mi znsl6108)

This article is cited in 2 papers

On Pinsker factors for Rokhlin entropy

A. V. Alpeev

Chebyshev Laboratory at St. Petersburg State University, St. Petersburg 199178, Russia

Abstract: In this paper we prove that any dynamical system has a unique maximal factor of zero Rokhlin entropy, the so-called Pinsker factor. It is also proven that if the system is ergodic and this factor has no atoms, then the system is a relatively weakly mixing extension of its Pinsker factor.

Key words and phrases: Pinsker factor, Rokhlin entropy, generating partition, relatively weakly mixing extension.

UDC: 513.5

Received: 10.01.2015

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2015, 209:6, 826–829

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© Steklov Math. Inst. of RAS, 2024