Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Coupling Property for Markov Processes with Applications to L\'evy
  Processes   In this article, we define the new concept of local coupling property for
Markov processes and study its relationship with distributional properties of
the transition probability. In the special case of L\'evy processes we show
that this property is equivalent to the absolute continuity of the transition
probability and also provide a sufficient condition for it in terms of the
L\'evy measure. Our result is stronger than existing results for absolute
continuity of L\'evy distributions.

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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an