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Russian Mathematical Surveys, 2020, Volume 75, Issue 3, Pages 393–425
DOI: https://doi.org/10.1070/RM9940 (Mi rm9940) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Non-uniform Kozlov–Treschev averagings in the ergodic theorem

V. I. Bogachevab

a Lomonosov Moscow State University
b National Research University Higher School of Economics
English version PDF (727 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/RM9940
Abstract: Generalizations and refinements are given for results of Kozlov and Treschev on non-uniform averagings in the ergodic theorem in the case of operator semigroups on spaces of integrable functions and semigroups of measure-preserving transformations. Conditions on the averaging measures are studied under which the averages converge for broad classes of integrable functions.
Bibliography: 96 items.
Keywords: ergodic theorem, operator semigroup, averaging of a semigroup.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20008
20-01-00432
Foundation for the Advancement of Theoretical Physics and Mathematics BASIS 18-1-6-83-1
Moscow Center of Fundamental and Applied Mathematics
This research was supported by the Russian Foundation for Basic Research (grants nos. 18-31-20008 and 20-01-00432), Moscow Center of Fundamental and Applied Mathematics, and the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS (grant no. 18-1-6-83-1).
Received: 02.03.2020
Bibliographic databases:
Document Type: Article
UDC: 517.5+519.2
MSC: Primary 37A30; Secondary 28D10
Language: English
Original paper language: Russian
Citation: V. I. Bogachev, “Non-uniform Kozlov–Treschev averagings in the ergodic theorem”, Russian Math. Surveys, 75:3 (2020), 393–425
Citation in format AMSBIB
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\paper Non-uniform Kozlov--Treschev averagings in the ergodic theorem
\jour Russian Math. Surveys
\yr 2020
\vol 75
\issue 3
\pages 393--425
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Linking options:
  • https://www.mathnet.ru/eng/rm9940
  • https://doi.org/10.1070/RM9940
  • https://www.mathnet.ru/eng/rm/v75/i3/p3
    • This publication is cited in the following 5 articles:
    1. I. V. Podvigin, “On Convergence Rates in the Birkhoff Ergodic Theorem”, Sib Math J, 65:5 (2024), 1170  crossref
    2. I. V. Podvigin, “O skorostyakh skhodimosti v ergodicheskoi teoreme Birkgofa”, Sib. matem. zhurn., 65:5 (2024), 991–1010  mathnet  crossref
    3. V. I. Bogachev, “On Sequential Properties of Spaces of Measures”, Math. Notes, 110:3 (2021), 449–453  mathnet  crossref  crossref  isi  elib
    4. P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. V. I. Bogachev, “Approximations of Nonlinear Integral Functionals of Entropy Type”, Proc. Steklov Inst. Math., 310 (2020), 1–11  mathnet  crossref  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:726
    Russian version PDF:137
    English version PDF:39
    References:95
    First page:58
     
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