Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jump Type Stochastic Differential Equations with Non-Lipschitz
  Coefficients: Non Confluence, Feller and Strong Feller Properties, and
  Exponential Ergodicity   This paper considers multidimensional jump type stochastic differential
equations with super linear growth and non-Lipschitz coefficients. After
establishing a sufficient condition for nonexplosion, this paper presents
sufficient non-Lipschitz conditions for pathwise uniqueness. The non confluence
property for solutions is investigated. Feller and strong Feller properties
under non-Lipschitz conditions are investigated via the coupling method.
Sufficient conditions for irreducibility and exponential ergodicity are
derived. As applications, this paper also studies multidimensional stochastic
differential equations driven by L\'evy processes and presents a Feynman-Kac
formula for L\'evy type operators.

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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio