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

Understand

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 random walk in random environment, are covered.
• The restriction needed is on the moment of the potential, in relation to the degree of mixing of the ergodic environment.