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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 2, Pages 88–91
DOI: https://doi.org/10.4213/faa2935 (Mi faa2935) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation $T$

V. V. Ryzhikov

M. V. Lomonosov Moscow State University
Full-text PDF (150 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa2935
Abstract: If an ergodic automorphism $T$ of a probability space is not partially rigid, then for any numbers $a\in(0,1)$ and $\varepsilon>0$ there exists a set $A$ such that all sets $T^i\!A$, $i>0$, are pairwise $\varepsilon$-independent.
Keywords: mixing, partial rigidity, measure-preserving transformation, $\varepsilon$-independence.
Received: 07.05.2007
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 2, Pages 155–157
DOI: https://doi.org/10.1007/s10688-009-0022-1
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. V. Ryzhikov, “Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation $T$”, Funktsional. Anal. i Prilozhen., 43:2 (2009), 88–91; Funct. Anal. Appl., 43:2 (2009), 155–157
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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