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

Abstract

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.

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

References in corpus (3)

• An almost sure invariance principle for random walks in a space-time random environment
• The Point of View of the Particle on the Law of Large Numbers for Random Walks in a Mixing Random Environment
• Quenched large deviations for multidimensional random walk in random environment: a variational formula

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