Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Paths with exponential intersection tails and oriented percolation   We show that oriented percolation occurs whenever a condition is satisfied
called "exponential intersection tails". This condition says that a measure on
paths exists for which the probability of two independent paths intersecting in
more than k sites is exponentially small in k.

8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph