Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-Stationary Asymptotics for Perturbed Semi-Markov Processes in
  Discrete Time   We consider a discrete time semi-Markov process where the characteristics
defining the process depend on a small perturbation parameter. It is assumed
that the state space consists of one finite communicating class of states and,
in addition, one absorbing state. Our main object of interest is the asymptotic
behaviour of the joint probabilities of the position of the semi-Markov process
and the event of non-absorption as time tends to infinity and the perturbation
parameter tends to zero. The main result gives exponential expansions of these
probabilities together with an recursive algorithm for computing the
coefficients in the expansions.

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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin