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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 13–28 (Mi znsl1236)  
This article is cited in 1 scientific paper (total in 1 paper)

Skew products and ergodic theorems for group actions

A. I. Bufetov

Independent University of Moscow
Full-text PDF (236 kB) Citations (1)
Abstract: We obtain new ergodic theorems for an action of the free semi-group on a probability space by measure-preserving maps. Our method consists in associating with the original semi-group action a skew product over the shift on the space of infinite one-sided sequences of generators of the semi-group, and then integrating Birkhoff–Khinchin ergodic theorems along the base of the skew product.
Received: 10.10.1999
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 113, Issue 4, Pages 548–557
DOI: https://doi.org/10.1023/A:1021138024468
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: A. I. Bufetov, “Skew products and ergodic theorems for group actions”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 13–28; J. Math. Sci. (N. Y.), 113:4 (2003), 548–557
Citation in format AMSBIB
\Bibitem{Buf00}
\by A.~I.~Bufetov
\paper Skew products and ergodic theorems for group actions
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~V
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 266
\pages 13--28
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1774645}
\zmath{https://zbmath.org/?q=an:1025.37003}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 113
\issue 4
\pages 548--557
\crossref{https://doi.org/10.1023/A:1021138024468}
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  • https://www.mathnet.ru/eng/znsl/v266/p13
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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