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This article is cited in 2 scientific papers (total in 2 papers)
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.
† Author to whom correspondence should be addressed
DOI:
https://doi.org/10.4213/mzm11768
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English version:
Mathematical Notes, 2017, 102:6, 787–791
Bibliographic databases:
  
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
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http://mi.mathnet.ru/eng/mz11768https://doi.org/10.4213/mzm11768 http://mi.mathnet.ru/eng/mz/v102/i6/p851
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:
-
V. V. Ryzhikov, “Thouvenot's Isomorphism Problem for Tensor Powers of Ergodic Flows”, Math. Notes, 104:6 (2018), 900–904
 -
V. V. Ryzhikov, “Weak Closure of Infinite Actions of Rank 1, Joinings, and Spectrum”, Math. Notes, 106:6 (2019), 957–965
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