A note on quenched moderate deviations for Sinai’s random walk in random environment
Francis Comets, Serguei Popov (2004)
ESAIM: Probability and Statistics
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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 and in a typical environment, at a distance larger than () from its initial position, is .