Precise large deviations for random walk in random environment
Probability
2018-01-08 v2
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.
Cite
@article{arxiv.1710.01075,
title = {Precise large deviations for random walk in random environment},
author = {Dariusz Buraczewski and Piotr Dyszewski},
journal= {arXiv preprint arXiv:1710.01075},
year = {2018}
}
Comments
26 pages