Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of Local times associated to Volterra-L\'evy processes and
  path-wise regularization of stochastic differential equations   We investigate the space-time regularity of the local time associated to
Volterra-L\'evy processes, including Volterra processes driven by
$\alpha$-stable processes for $\alpha\in(0,2]$. We show that the spatial
regularity of the local time for Volterra-L\'evy process is $P$-a.s. inverse
proportionally to the singularity of the associated Volterra kernel. We apply
our results to the investigation of path-wise regularizing effects obtained by
perturba\Ption of ODEs by a Volterra-L\'evy process which has sufficiently
regular local time. Following along the lines of [15], we show existence,
uniqueness and differentiablility of the flow associated to such equations.

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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys