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

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

2006-09-27

arxiv.org/abs/math/0609766v1

Mathematics

Probability

Scientific paper

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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