Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical site percolation in high dimension   We use the lace expansion to prove an infra-red bound for site percolation on
the hypercubic lattice in high dimension. This implies the triangle condition
and allows us to derive several critical exponents that characterize mean-field
behavior in high dimensions.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph