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Funktsional'nyi Analiz i ego Prilozheniya, 2023, Volume 57, Issue 3, Pages 74–88
DOI: https://doi.org/10.4213/faa4066 (Mi faa4066) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Self-joinings and generic extensions of ergodic systems

V. V. Ryzhikov

Lomonosov Moscow State University
Full-text PDF (568 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa4066
Abstract: It is proved that the generic extensions of a dynamical system inherit the triviality of pairwise independent self-joinings. This property is related to well-known problems of joining theory and to Rokhlin's famous multiple mixing problem.
Keywords: pairwise independent joinings, local rigidity of cocycles, generic extensions of actions, relative multiple mixing.
Received: 02.11.2022
Revised: 04.03.2023
Accepted: 02.04.2023
English version:
Functional Analysis and Its Applications, 2023, Volume 57, Issue 3, Pages 236–247
DOI: https://doi.org/10.1134/S0016266323030048
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. V. Ryzhikov, “Self-joinings and generic extensions of ergodic systems”, Funktsional. Anal. i Prilozhen., 57:3 (2023), 74–88; Funct. Anal. Appl., 57:3 (2023), 236–247
Citation in format AMSBIB
\Bibitem{Ryz23}
\by V.~V.~Ryzhikov
\paper Self-joinings and generic extensions of ergodic systems
\jour Funktsional. Anal. i Prilozhen.
\yr 2023
\vol 57
\issue 3
\pages 74--88
\mathnet{http://mi.mathnet.ru/faa4066}
\crossref{https://doi.org/10.4213/faa4066}
\transl
\jour Funct. Anal. Appl.
\yr 2023
\vol 57
\issue 3
\pages 236--247
\crossref{https://doi.org/10.1134/S0016266323030048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85187522153}
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  • https://doi.org/10.4213/faa4066
  • https://www.mathnet.ru/eng/faa/v57/i3/p74
    • This publication is cited in the following 1 articles:
    1. V. V. Ryzhikov, “Generic extensions of ergodic systems”, Sb. Math., 214:10 (2023), 1442–1457  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    References:51
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