Abstract
We introduce in this article a class of transient random walks in a random environment on $\mathbb{Z}^d$. When $d\ge 2$, these walks are ballistic and we derive a law of large numbers, a central limit theorem and large-deviation estimates. In the so-called nestling situation, large deviations in the neighborhood of the segment $[0, v]$, $v$ being the limiting velocity, are critical. They are of special interest in view of their close connection with the presence of traps in the medium, that is, pockets where a certain spectral parameter takes atypically low values.
Citation
Alain-Sol Sznitman. "On a Class Of Transient Random Walks in Random Environment." Ann. Probab. 29 (2) 724 - 765, April 2001. https://doi.org/10.1214/aop/1008956691
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