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Mat. Zametki, 2017, Volume 102, Issue 6, Pages 851–856 (Mi mz11768)  
This article is cited in 1 scientific paper (total in 1 paper)

Minimal Self-Joinings of Infinite Mixing Actions of Rank 1

I. V. Klimov, V. V. Ryzhikov

Lomonosov Moscow State University

Abstract: We prove that measure-preserving actions of rank 1 of the groups $\mathbb{Z}^n$ and $\mathbb{R}^n$ on a Lebesgue space with a $\sigma$-finite measure have minimal self-joinings.

Keywords: space with a $\sigma$-finite measure, measure-preserving transformation, action of rank 1, minimal self-joining.

DOI: https://doi.org/10.4213/mzm11768

Full text: PDF file (442 kB)
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English version:
Mathematical Notes, 2017, 102:6, 787–791

Bibliographic databases:

Document Type: Article
UDC: 517.9
Received: 09.08.2017

Citation: I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Mat. Zametki, 102:6 (2017), 851–856; Math. Notes, 102:6 (2017), 787–791

Citation in format AMSBIB
\Bibitem{KliRyz17}
\by I.~V.~Klimov, V.~V.~Ryzhikov
\paper Minimal Self-Joinings of Infinite Mixing Actions of Rank~1
\jour Mat. Zametki
\yr 2017
\vol 102
\issue 6
\pages 851--856
\mathnet{http://mi.mathnet.ru/mz11768}
\crossref{https://doi.org/10.4213/mzm11768}
\elib{http://elibrary.ru/item.asp?id=30737876}
\transl
\jour Math. Notes
\yr 2017
\vol 102
\issue 6
\pages 787--791
\crossref{https://doi.org/10.1134/S0001434617110189}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000418838500018}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85039418269}


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  • https://doi.org/10.4213/mzm11768
  • http://mi.mathnet.ru/eng/mz/v102/i6/p851

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Ryzhikov, “Thouvenot's Isomorphism Problem for Tensor Powers of Ergodic Flows”, Math. Notes, 104:6 (2018), 900–904  mathnet  crossref  crossref  isi  elib
    		• Математические заметки Mathematical Notes
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