Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random walk on discrete point processes   We consider a model for random walks on random environments (RWRE) with
random subset of the d-dimensional Euclidean lattice as the vertices, and
uniform transition probabilities on 2d points (two "coordinate nearest points"
in each of the d coordinate directions). We prove that the velocity of such
random walks is almost surely 0, and give partial characterization of
transience and recurrence for the different dimensions. Finally we prove
Central Limit Theorem for such random walks, under a condition on the distance
between nearest coordinate nearest points.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th