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Diskretnaya Matematika, 2022, Volume 34, Issue 4, Pages 3–13
DOI: https://doi.org/10.4213/dm1726
(Mi dm1726)
 

This article is cited in 1 scientific paper (total in 1 paper)

.On large deviations of the moment of attaining far level by the random walk in a random environment

G. A. Bakai

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (479 kB) Citations (1)
References:
Abstract: We prove local limit theorems on large deviations for the moment $T_n$ of attaining the level $n\in\mathbb{N}$ by the random walk in a random environment. Exact asymptotics of probabilities ${\mathbf P}(T_n=k)$ are obtained for values of the parameter $k$ corresponding to the large deviations zone.
Keywords: local theorems, large deviatios, random walks in random environment.
Funding agency Grant number
Russian Science Foundation 19-11-00111
Received: 30.05.2022
English version:
Discrete Mathematics and Applications, 2024, Volume 34, Issue 4, Pages 187–195
DOI: https://doi.org/10.1515/dma-2024-0015
Bibliographic databases:
Document Type: Article
UDC: 519.217.31
Language: Russian
Citation: G. A. Bakai“.On large deviations of the moment of attaining far level by the random walk in a random environment”, Diskr. Mat., 34:4 (2022), 3–13; Discrete Math. Appl., 34:4 (2024), 187–195
Citation in format AMSBIB
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\by G.~A.~Bakai
\paper .On large deviations of the moment of attaining far level by the random walk in a random environment
\jour Diskr. Mat.
\yr 2022
\vol 34
\issue 4
\pages 3--13
\mathnet{http://mi.mathnet.ru/dm1726}
\crossref{https://doi.org/10.4213/dm1726}
\transl
\jour Discrete Math. Appl.
\yr 2024
\vol 34
\issue 4
\pages 187--195
\crossref{https://doi.org/10.1515/dma-2024-0015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001295456100006}
Linking options:
  • https://www.mathnet.ru/eng/dm1726
  • https://doi.org/10.4213/dm1726
  • https://www.mathnet.ru/eng/dm/v34/i4/p3
  • 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
    Дискретная математика
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