On Pinsker Factors for Rokhlin Entropy

Verfasser / Beitragende:
[A. Alpeev]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/6(2015-09-01), 826-829
Format:
Artikel (online)
ID: 605525897
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024 7 0 |a 10.1007/s10958-015-2529-8  |2 doi 
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100 1 |a Alpeev  |D A.  |u Chebyshev Laboratory, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
245 1 0 |a On Pinsker Factors for Rokhlin Entropy  |h [Elektronische Daten]  |c [A. Alpeev] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Alpeev  |D A.  |u Chebyshev Laboratory, St.Petersburg State University, St.Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 209/6(2015-09-01), 826-829  |x 1072-3374  |q 209:6<826  |1 2015  |2 209  |o 10958