Geodesic
.On large deviations of the moment of attaining far level by the random walk in a random environment
Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 3-13

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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. 
@article{DM_2022_34_4_a0,
     author = {G. A. Bakai},
     title = {.On large deviations of the moment of attaining far level by the random walk in a random environment},
     journal = {Diskretnaya Matematika},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {34},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2022_34_4_a0/}
}
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G. A. Bakai. .On large deviations of the moment of attaining far level by the random walk in a random environment. Diskretnaya Matematika, Tome 34 (2022) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/DM_2022_34_4_a0/