Abstract
We study one-dimensional nearest neighbour random walk in site-dependent 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.
Citation
Dariusz Buraczewski. Piotr Dyszewski. "Precise large deviations for random walk in random environment." Electron. J. Probab. 23 1 - 26, 2018. https://doi.org/10.1214/18-EJP239
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