Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mean field limit for survival probability of the high-dimensional
  contact process   In this paper we are concerned with the contact process on the squared
lattice. The contact process intuitively describes the spread of the infectious
disease on a graph, where an infectious vertex becomes healthy at a constant
rate while a healthy vertex is infected at rate proportional to the number of
infectious neighbors. As the dimension of the lattice grows to infinity, we
give a mean field limit for the survival probability of the process conditioned
on the event that only the origin of the lattice is infected at t=0. The binary
contact path process is a main auxiliary tool for our proof.

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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg