Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contact processes with random vertex weights on oriented lattices   In this paper we are concerned with contact processes with random vertex
weights on oriented lattices. In our model, we assume that each vertex x of Z^d
takes i. i. d. positive random value \rho(x). Vertex y infects vertex x at rate
proportional to \rho(x)\rho(y) when and only when there is an oriented edge
from y to x. We give the definition of the critical value \lambda_c of
infection rate under the annealed measure and show that
\lambda_c=[1+o(1)]/(dE\rho^2) as d grows to infinity. Classic contact processes
on oriented lattices and contact processes on clusters of oriented site
percolation are two special cases of our model.

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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: eess