Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Exponential Stability of Switching-Diffusion Processes with Jumps   In this paper we focus on the pathwise stability of mild solutions for a
class of stochastic partial differential equations which are driven by
switching-diffusion processes with jumps. In comparison to the existing
literature, we show that: (i) the criterion to guarantee pathwise stability
does not rely on the moment stability of the system; (ii) the sample Lyapunov
exponent obtained is generally smaller than that of the counterpart driven by a
Wiener process; (iii) due to the Markovian switching the overall system can
become pathwise exponentially stable although some subsystems are not stable.

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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: adap-org