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

Markus Flury

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

Markus Flury

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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 \cite{Zer}, 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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Markus Flury. 2006-09-27. Large Deviations and Phase Transition for Random Walks in Random Nonnegative Potentials. https://arxiv.org/abs/math/0609766

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