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Mat. Zametki, 2016, Volume 99, Issue 1, paper published in the English version journal
(Mi mz11087)
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This article is cited in 2 scientific papers (total in 2 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
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.
DOI:
https://doi.org/10.1134/S0001434616010028
English version:
Mathematical Notes, 2016, 99:1, 9–23
Bibliographic databases:
   
Received: 06.06.2015
Language:
Citation:
A. I. Bashtanov, “Conjugacy Classes are Dense in the Space of Mixing <nobr>$\mathbb{Z}^d$</nobr>-Actions”, Math. Notes, 99:1 (2016), 9–23
Citation in format AMSBIB
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\paper Conjugacy Classes are Dense in the Space of Mixing <nobr>$\mathbb{Z}^d$</nobr>-Actions
\jour Math. Notes
\yr 2016
\vol 99
\issue 1
\pages 9--23
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\crossref{https://doi.org/10.1134/S0001434616010028}
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Linking options:
http://mi.mathnet.ru/eng/mz11087https://doi.org/10.1134/S0001434616010028
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
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I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Math. Notes, 102:6 (2017), 787–791
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I. V. Klimov, “Simple Spectrum of Tensor Products and Typical Properties of Measure-Preserving Flows”, Math. Notes, 104:6 (2018), 927–929
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