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Matematicheskie Trudy, 2015, Volume 18, Number 2, Pages 93–111
DOI: https://doi.org/10.17377/mattrudy.2015.18.206 (Mi mt295) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the rate of convergence in the individual ergodic theorem for the action of a semigroup

I. V. Podviginab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (262 kB) Citations (6)
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DOI: https://doi.org/10.17377/mattrudy.2015.18.206
Abstract: We consider the individual ergodic theorem for the action of a semigroup of measure-preserving mappings. We estimate the rate of convergence using estimates for the probability of large deviations for the ergodic averages with an essentially bounded averaging function. We find estimates for the rate of convergence of the ergodic averages in the cases of Benedicks–Carleson quadratic mappings, expanding mappings of Pomeau–Manneville type with a neutral point, and multidimensional shifts.
Key words: the rate of convergence in an ergodic theorem, large deviations, quadratic mapping, multidimensional shift.
Received: 13.11.2014
English version:
Siberian Advances in Mathematics, 2016, Volume 26, Issue 2, Pages 139–151
DOI: https://doi.org/10.3103/S105513441602005X
Bibliographic databases:
Document Type: Article
UDC: 517.987+519.214.8+517.518
Language: Russian
Citation: I. V. Podvigin, “On the rate of convergence in the individual ergodic theorem for the action of a semigroup”, Mat. Tr., 18:2 (2015), 93–111; Siberian Adv. Math., 26:2 (2016), 139–151
Citation in format AMSBIB
\Bibitem{Pod15}
\by I.~V.~Podvigin
\paper On the rate of convergence in the individual ergodic theorem for the action of a semigroup
\jour Mat. Tr.
\yr 2015
\vol 18
\issue 2
\pages 93--111
\mathnet{http://mi.mathnet.ru/mt295}
\crossref{https://doi.org/10.17377/mattrudy.2015.18.206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588293}
\elib{https://elibrary.ru/item.asp?id=24639782}
\transl
\jour Siberian Adv. Math.
\yr 2016
\vol 26
\issue 2
\pages 139--151
\crossref{https://doi.org/10.3103/S105513441602005X}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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