Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong approximation of density dependent Markov chains on bounded
  domains   Density dependent families of Markov chains, such as the stochastic models of
mass-action chemical kinetics, converge for large values of the indexing
parameter $N$ to deterministic systems of differential equations (Kurtz, 1970).
Moreover for moderate $N$ they can be strongly approximated by paths of a
diffusion process (Kurtz, 1976). Such an approximation however fails if the
state space is bounded (at zero or at a constant maximum level due to
conservation of mass) and if the process visits the boundaries with non
negligible probability. We present a strong approximation by a jump-diffusion
process which is robust to this event. The result is illustrated with a
particularly hard case study.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int