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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1102–1110 (Mi smj2333)  

This article is cited in 6 scientific papers (total in 6 papers)

Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time

V. V. Sedalishchev

Novosibirsk State University, Novosibirsk
Full-text PDF (298 kB) Citations (6)
References:
Abstract: For the case of continuous time, we prove inequalities that make it possible, in the presence of power-type estimates of the convergence rate in the von Neumann ergodic theorem, to obtain estimates for the convergence rate in the Birkhoff ergodic theorem. These results have obvious exact analogs in the class of wide-sense stationary stochastic processes.
Keywords: von Neumann's ergodic theorem, Birkhoff's ergodic theorem, convergence rate of ergodic averages, spectral measure, correlation function, wide-sense stationary stochastic process.
Received: 30.12.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 882–888
DOI: https://doi.org/10.1134/S0037446612050138
Bibliographic databases:
Document Type: Article
UDC: 517.987+519.214
Language: Russian
Citation: V. V. Sedalishchev, “Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time”, Sibirsk. Mat. Zh., 53:5 (2012), 1102–1110; Siberian Math. J., 53:5 (2012), 882–888
Citation in format AMSBIB
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\issue 5
\pages 1102--1110
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  • https://www.mathnet.ru/eng/smj/v53/i5/p1102
  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:541
    Full-text PDF :156
    References:73
    First page:7
     
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