Precise large deviations for random walk in random environment

2017/10/03 by Buraczewski, Dariusz, Dyszewski, Piotr
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1710.01075

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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