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This article is cited in 4 scientific papers (total in 4 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.
Received: 06.06.2015
Citation:
A. I. Bashtanov, “Conjugacy Classes are Dense in the Space of Mixing $\mathbb{Z}^d$-Actions”, Math. Notes, 99:1 (2016), 9–23
Linking options:
https://www.mathnet.ru/eng/mzm11087https://doi.org/10.1134/S0001434616010028
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Abstract page: | 285 |
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