Process-level quenched large deviations for random walk in random environment

Details Process-level quenched large deviations for random walk in random environment Process-level quenched large deviations for random walk in random environment

2009-09-04

arxiv.org/abs/0909.0973v2

Ann. Inst. H. Poincare Probab. Statist. 47 (2011), 214-242

Mathematics

Probability

Proof of (6.2) corrected. Lemma A.2 replaced

Scientific paper

We consider a bounded step size random walk in an ergodic random environment
with some ellipticity, on an integer lattice of arbitrary dimension. We prove a
level 3 large deviation principle, under almost every environment, with rate
function related to a relative entropy.

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