Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic domination for the last passage percolation model   A competition model on $\mathbb{Z}_+^{2}$ governed by directed last passage
percolation is considered. A stochastic domination argument between subtrees of
the last passage percolation is put forward.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex