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Matematicheskie Zametki, 2014, Volume 96, Issue 3, Pages 432–439
DOI: https://doi.org/10.4213/mzm10517 (Mi mzm10517) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions

V. V. Ryzhikov

M. V. Lomonosov Moscow State University
Full-text PDF (431 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm10517
Abstract: In this paper, a mixing $\mathbb Z^2$-action, not isomorphic to its inverse, is presented; $\mathbb Z$-actions with asymmetry of partial multiple mixing properties on sequences and partial multiple rigidity are considered; new examples of transformations of a space with infinite measure, not isomorphic to its inverse, are given.
Keywords: mixing $\mathbb Z^2$-action, asymmetry of multiple mixing, ergodic invertible transformation, partial multiple rigidity, Haar measure, compact commutative group.
Received: 07.02.2014
Revised: 02.04.2014
English version:
Mathematical Notes, 2014, Volume 96, Issue 3, Pages 416–422
DOI: https://doi.org/10.1134/S0001434614090132
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Mat. Zametki, 96:3 (2014), 432–439; Math. Notes, 96:3 (2014), 416–422
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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