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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
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.
Received: 30.05.2022
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
Linking options:
https://www.mathnet.ru/eng/dm1726https://doi.org/10.4213/dm1726 https://www.mathnet.ru/eng/dm/v34/i4/p3
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Abstract page: | 231 | Full-text PDF : | 37 | References: | 48 | First page: | 10 |
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