Precise large deviations for random walk in random environment (1710.01075v2)

Published 3 Oct 2017 in math.PR

Abstract: We study one-dimensional nearest neighbour random walk in site-random environment. We establish precise (sharp) large deviations in the so-called ballistic regime, when the random walk drifts to the right with linear speed. In the sub-ballistic regime, when the speed is sublinear, we describe the precise probability of slowdown.

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