Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenched Free Energy and Large Deviations for Random Walks in Random
  Potentials   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.

4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc