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Matematicheskie Zametki, 2018, Volume 103, Issue 6, Pages 912–926
DOI: https://doi.org/10.4213/mzm11743 (Mi mzm11743) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Rigidity of Actions with Extreme Deviation from Multiple Mixing

S. V. Tikhonov

Plekhanov Russian State University of Economics, Moscow
Full-text PDF (544 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm11743
Abstract: We introduce a class of systems, including Ledrappier's example, which do not have multiple mixing. A classification of such systems for 2D lattice actions is constructed.
Keywords: measure-preserving transformation, dynamical system, multiple mixing, Ledrappier's example.
Received: 16.01.2017
Revised: 12.10.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 6, Pages 977–989
DOI: https://doi.org/10.1134/S0001434618050346
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: S. V. Tikhonov, “Rigidity of Actions with Extreme Deviation from Multiple Mixing”, Mat. Zametki, 103:6 (2018), 912–926; Math. Notes, 103:6 (2018), 977–989
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm11743
  • https://doi.org/10.4213/mzm11743
  • https://www.mathnet.ru/eng/mzm/v103/i6/p912
    • This publication is cited in the following 2 articles:
    1. S. V. Tikhonov, “A violation of multiple mixing close to an extremal”, Trans. Moscow Math. Soc., 82 (2021), 173–181  mathnet  crossref
    2. S. V. Tikhonov, “Multiple Mixing with Respect to Noncoinciding Sets”, Proc. Steklov Inst. Math., 308 (2020), 229–237  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    Abstract page:481
    Full-text PDF :42
    References:64
    First page:21
     
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