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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2016 Volume 28, Issue 4, Pages 6–28 (Mi dm1389)

This article is cited in 5 papers

On the non-recurrent random walk in a random environment

V. I. Afanasyev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: For weakly transient random walk in a random environment that tend at $-\infty$ the limit theorem for the time of hitting a high level is proved.

Keywords: random walk in a random environment, branching process with migration in a random environment, Brownian excursion, functional limit theorems.

UDC: 519.217.31

Received: 02.02.2016

DOI: 10.4213/dm1389


 English version:
Discrete Mathematics and Applications, 2018, 28:3, 139–156

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