Precise large deviations for random walk in random environment

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 pr...

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Hauptverfasser: Buraczewski, Dariusz, Dyszewski, Piotr
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1710.01075