Geodesic
A note on quenched moderate deviations for Sinai's random walk in random environment
ESAIM: Probability and Statistics, Tome 8 (2004), pp. 56-65

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We consider the continuous time, one-dimensional random walk in random environment in Sinai’s regime. We show that the probability for the particle to be, at time t and in a typical environment, at a distance larger than t a (0<a<1) from its initial position, is exp{- Const ·t a /[(1-a)lnt](1+o(1))}.

DOI : 10.1051/ps:2004001
Classification : 60F10, 60K37
Keywords: random walk in random environment, Sinai’s regime, $t$-stable point, moderate deviations 
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     author = {Comets, Francis and Popov, Serguei},
     title = {A note on quenched moderate deviations for {Sinai's} random walk in random environment},
     journal = {ESAIM: Probability and Statistics},
     pages = {56--65},
     publisher = {EDP-Sciences},
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     year = {2004},
     doi = {10.1051/ps:2004001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps:2004001/}
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Comets, Francis; Popov, Serguei. A note on quenched moderate deviations for Sinai's random walk in random environment. ESAIM: Probability and Statistics, Tome 8 (2004), pp. 56-65. doi: 10.1051/ps:2004001

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