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Matematicheskie Zametki, 2022, Volume 112, Issue 2, Pages 251–262
DOI: https://doi.org/10.4213/mzm13483 (Mi mzm13483) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Exponent of Convergence of a Sequence of Ergodic Averages

I. V. Podvigin

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (508 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm13483
Abstract: For a sequence of ergodic averages, we consider its exponent of convergence, which is a numerical characteristic of two-sided power-law estimates of the rate of pointwise convergence of this sequence. Criteria for the boundary values 1 and $\infty$ of the exponent of convergence are given. Functions cohomologous to zero with a given the exponent of convergence are also described.
Keywords: Birkhoff's ergodic theorem, rates of convergence in ergodic theorems, the exponent of convergence, Tanny–Woś spaces.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0005
This work was carried out within the framework of the State Assignment for the Institute of Mathematics of the Siberian Branch of Russian Academy of Sciences (grant no. 0314-2019-0005).
Received: 09.03.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 2, Pages 271–280
DOI: https://doi.org/10.1134/S000143462207029X
Bibliographic databases:
Document Type: Article
UDC: 517.987+517.52
Language: Russian
Citation: I. V. Podvigin, “Exponent of Convergence of a Sequence of Ergodic Averages”, Mat. Zametki, 112:2 (2022), 251–262; Math. Notes, 112:2 (2022), 271–280
Citation in format AMSBIB
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\by I.~V.~Podvigin
\paper Exponent of Convergence of a Sequence of Ergodic Averages
\jour Mat. Zametki
\yr 2022
\vol 112
\issue 2
\pages 251--262
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\crossref{https://doi.org/10.4213/mzm13483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4461347}
\transl
\jour Math. Notes
\yr 2022
\vol 112
\issue 2
\pages 271--280
\crossref{https://doi.org/10.1134/S000143462207029X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85136619687}
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    • This publication is cited in the following 3 articles:
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