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This article is cited in 3 scientific papers (total in 3 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.
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
Linking options:
https://www.mathnet.ru/eng/mzm11768https://doi.org/10.4213/mzm11768 https://www.mathnet.ru/eng/mzm/v102/i6/p851
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Abstract page: | 375 | Full-text PDF : | 40 | References: | 50 | First page: | 23 |
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