Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability on {0,1,2,...}^S: birth-death chains and particle systems   A strong negative dependence property for measures on {0,1}^n - stability -
was recently developed in [5], by considering the zero set of the probability
generating function. We extend this property to the more general setting of
reaction-diffusion processes and collections of independent Markov chains. In
one dimension the generalized stability property is now independently
interesting, and we characterize the birth-death chains preserving it.

31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph