Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A quenched invariance principle for non-elliptic random walk in i.i.d.
  balanced random environment   We consider a random walk on Z^d in an i.i.d. balanced random environment,
that is a random walk for which the probability to jump from x to nearest
neighbor x+e is the same as to nearest neighbor x-e. Assuming that the
environment is genuinely d-dimensional and balanced we show a quenched
invariance principle: for P almost every environment, the diffusive rescaled
random walk converges to a Brownian motion with deterministic non-degenerate
diffusion matrix. Within the i.i.d. setting, our result extend both Lawler's
uniformly elliptic result and Guo and Zeitouni's elliptic result to the general
(non elliptic) case. Our proof is based on analytic methods and percolation
arguments.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
3
The categories of this paper are: physics