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

Markus Flury

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

Probability 2007-05-23 v1

Authors: Markus Flury

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.

Keywords

large deviations principle random walk in random environment random walks

Cite

@article{arxiv.math/0609766,
  title  = {Large Deviations and Phase Transition for Random Walks in Random Nonnegative Potentials},
  author = {Markus Flury},
  journal= {arXiv preprint arXiv:math/0609766},
  year   = {2007}
}

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