Large Deviations and Phase Transition for Random Walks in Random Nonnegative Potentials

2006/09/27 by Flury, Markus
#60K37 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0609766

Abstract

We establish large deviation principles and phase transition results for both quenched and annealed settings of nearest-neighbor random walks with constant drift in random nonnegative potentials on \mathbb Z^d. We complement the analysis of \citeZer, where a shape theorem on the Lyapunov functions and a large deviation principle in absence of the drift are achieved for the quenched setting.

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