Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quenched large deviations for multidimensional random walk in random
  environment: a variational formula   We take the point of view of the particle in a multidimensional nearest
neighbor random walk in random environment (RWRE). We prove a quenched large
deviation principle and derive a variational formula for the quenched rate
function. Most of the previous results in this area rely on the subadditive
ergodic theorem. We employ a different technique which is based on a minimax
theorem. Large deviation principles for RWRE have been proven for i.i.d.
nestling environments subject to a moment condition and for ergodic uniformly
elliptic environments. We assume only that the environment is ergodic and the
transition probabilities satisfy a moment condition.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph