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Matematicheskie Zametki, 2016, Volume 99, Issue 1, paper published in the English version journal
DOI: https://doi.org/10.1134/S0001434616010028 (Mi mzm11087) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Papers published in the English version of the journal

Conjugacy Classes are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions

A. I. Bashtanov
Citations (4)
DOI: https://doi.org/10.1134/S0001434616010028
Abstract: The density of each conjugacy class in the space of mixing $\mathbb{Z}^d$-actions is proved. This result implies the genericity of rank $1$, the triviality of the centralizer, and the absence of factors.
Keywords: mixing, measure-preserving transformation, ergodic theory, genericity, Halmos' conjugacy lemma, group action, density, conjugacy class.
Received: 06.06.2015
English version:
Mathematical Notes, 2016, Volume 99, Issue 1, Pages 9–23
DOI: https://doi.org/10.1134/S0001434616010028
Bibliographic databases:
Document Type: Article
Language: English
Citation: A. I. Bashtanov, “Conjugacy Classes are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions”, Math. Notes, 99:1 (2016), 9–23
Citation in format AMSBIB
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\by A.~I.~Bashtanov
\paper Conjugacy Classes are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions
\jour Math. Notes
\yr 2016
\vol 99
\issue 1
\pages 9--23
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Linking options:
  • https://www.mathnet.ru/eng/mzm11087
  • https://doi.org/10.1134/S0001434616010028
    • This publication is cited in the following 4 articles:
    1. Adam Kanigowski, Mariusz Lemańczyk, Encyclopedia of Complexity and Systems Science Series, Ergodic Theory, 2023, 109  crossref
    2. Adam Kanigowski, Mariusz Lemańczyk, Encyclopedia of Complexity and Systems Science, 2020, 1  crossref
    3. I. V. Klimov, “Simple Spectrum of Tensor Products and Typical Properties of Measure-Preserving Flows”, Math. Notes, 104:6 (2018), 927–929  mathnet  crossref  crossref  mathscinet  isi  elib
    4. I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Math. Notes, 102:6 (2017), 787–791  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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