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Funktsional'nyi Analiz i ego Prilozheniya, 2000, Volume 34, Issue 4, Pages 1–17
DOI: https://doi.org/10.4213/faa322 (Mi faa322) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Operator Ergodic Theorems for Actions of Free Semigroups and Groups

A. I. Bufetov

Independent University of Moscow
Full-text PDF (203 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa322
Abstract: New ergodic theorems are obtained for measure-preserving actions of free semigroups and groups. These theorems are derived from ergodic theorems for Markov operators. This approach also allows one to obtain ergodic theorems for some classes of Markov semigroups. Results of the paper generalize classical ergodic theorems of Kakutani, Oseledets, and Guivarc'h, and recent ergodic theorems of Grigorchuk, Nevo, and Nevo and Stein.
Received: 26.05.1999
English version:
Functional Analysis and Its Applications, 2000, Volume 34, Issue 4, Pages 239–251
DOI: https://doi.org/10.1023/A:1004116205980
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. I. Bufetov, “Operator Ergodic Theorems for Actions of Free Semigroups and Groups”, Funktsional. Anal. i Prilozhen., 34:4 (2000), 1–17; Funct. Anal. Appl., 34:4 (2000), 239–251
Citation in format AMSBIB
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\transl
\jour Funct. Anal. Appl.
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\pages 239--251
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    • This publication is cited in the following 17 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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    References:64
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