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

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

2011-04-15

arxiv.org/abs/1104.3110v2

Mathematics

Probability

40 pages. Minor revisions

Scientific paper

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. We derive two variational formulas for the limiting quenched free energy and prove a process-level quenched large deviation principle for the empirical measure. As a corollary we obtain LDPs for types of random walk in random environment not covered by earlier results.

Affiliated with

Also associated with

No associations

Rating

Quenched Free Energy and Large Deviations for Random Walks in Random Potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quenched Free Energy and Large Deviations for Random Walks in Random Potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quenched Free Energy and Large Deviations for Random Walks in Random Potentials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-9245