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Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

Quenched Free Energy and Large Deviations for Random Walks in Random Potentials

Abstract We study quenched distributions on random walks in a random potential on integer lattices of arbitrary dimension and with an arbitrary finite set of admissible steps. The potential can be unbounded and can depend on a few steps of the walk. Directed, undirected, and stretched polymers, as well as …