Large deviations for random walks in a random environment on a strip

Abstract

We consider a random walk in a random environment (RWRE) on the strip of finite width $\mathbb{Z}\times \{1,2,\dots ,d\}$. We prove both quenched and averaged large deviation principles for the position and the hitting times of the RWRE. Moreover, we prove a variational formula that relates the quenched and averaged rate functions, thus extending a result of Comets, Gantert, and Zeitouni for nearest-neighbor RWRE on $\mathbb{Z}$

References in corpus (3)

• Transient random walks on a strip in a random environment
• Branching structure for an (L-1) random walk in random environment and its applications
• On the annealed large deviation rate function for a multi-dimensional random walk in random environment

Cited by in corpus (1)

• Deterministic walk in an excited random environment