Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Occupation measure of random walks and wired spanning forests in balls
  of Cayley graphs   We show that for finite-range, symmetric random walks on general transient
Cayley graphs, the expected occupation time of any given ball of radius $r$ is
$O(r^{5/2})$.. We also study the volume-growth property of the wired spanning
forests on general Cayley graphs, showing that the expected number of vertices
in the component of the identity inside any given ball of radius $r$ is
$O(r^{11/2})$.

32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph