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arXiv · 1710.01075

Precise large deviations for random walk in random environment

Dariusz Buraczewski·Piotr Dyszewski
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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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Dariusz Buraczewski, Piotr Dyszewski. 2017-10-03. Precise large deviations for random walk in random environment. https://arxiv.org/abs/1710.01075

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