Abstract:
Let $T_{-n}$, $n \in\mathbb{N}$, be a hitting time of level -n for a random walk in random environment (RWRE). The exact asymptotics $P(T_{-n} = k)$ are proved. Here $k =k(n)$, $n$-k is even for every n and the ratio $k/n$ belongs to a compact set.
Keywords:
local limit theorems, large deviations, random walk in random environment, improper regeneration.
The work was supported by the Russian Science Foundation under grant no.19-11-00111-П, https://rscf.ru/en/project/19-11-00111/, and performed at Steklov Mathematical Institute of Russian Academy of Sciences.
Received: 06.09.2023
Published: 28.11.2023
Document Type:
Article
UDC:519.217.31
Language: Russian
Citation:
G. A. Bakai, “Large Deviations for First Hitting time of Random Walk in Random Environment (lower level)”, Diskr. Mat., 35:4 (2023), 3–17
\Bibitem{Bak23}
\by G.~A.~Bakai
\paper Large Deviations for First Hitting time of Random Walk in Random Environment (lower level)
\jour Diskr. Mat.
\yr 2023
\vol 35
\issue 4
\pages 3--17
\mathnet{http://mi.mathnet.ru/dm1794}
\crossref{https://doi.org/10.4213/dm1794}
Linking options:
https://www.mathnet.ru/eng/dm1794
https://doi.org/10.4213/dm1794
https://www.mathnet.ru/eng/dm/v35/i4/p3
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