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 Mat. Zametki, 2016, Volume 99, Issue 1, paper published in the English version journal (Mi mz11087)

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

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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
\Bibitem{Bas16} \by A.~I.~Bashtanov \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 \mathnet{http://mi.mathnet.ru/mz11087} \crossref{https://doi.org/10.1134/S0001434616010028} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3486107} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000373228900002} \elib{http://elibrary.ru/item.asp?id=27150771} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84962427829} 

• http://mi.mathnet.ru/eng/mz11087
• https://doi.org/10.1134/S0001434616010028

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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:
1. I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Math. Notes, 102:6 (2017), 787–791
2. I. V. Klimov, “Simple Spectrum of Tensor Products and Typical Properties of Measure-Preserving Flows”, Math. Notes, 104:6 (2018), 927–929