Geodesic
On the non-recurrent random walk in a random environment
Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 6-28

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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     author = {V. I. Afanasyev},
     title = {On the non-recurrent random walk in a random environment},
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     url = {http://geodesic.mathdoc.fr/item/DM_2016_28_4_a1/}
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V. I. Afanasyev. On the non-recurrent random walk in a random environment. Diskretnaya Matematika, Tome 28 (2016) no. 4, pp. 6-28. http://geodesic.mathdoc.fr/item/DM_2016_28_4_a1/