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arXiv · 1302.0888

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

Jonathon Peterson
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Abstract

We consider a random walk in a random environment (RWRE) on the strip of finite width $\mathbb{Z} \times \{1,2,\ldots,d\}$. 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 $\mathbb{Z}$

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Jonathon Peterson. 2013-02-04. Large deviations for random walks in a random environment on a strip. https://arxiv.org/abs/1302.0888

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