Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupling and Strong Feller for Jump Processes on Banach Spaces   By using lower bound conditions of the L\'evy measure w.r.t. a nice reference
measure, the coupling and strong Feller properties are investigated for the
Markov semigroup associated with a class of linear SDEs driven by
(non-cylindrical) L\'evy processes on a Banach space. Unlike in the
finite-dimensional case where these properties have also been confirmed for
L\'evy processes without drift, in the infinite-dimensional setting the
appearance of a drift term is essential to ensure the quasi-invariance of the
process by shifting the initial data. Gradient estimates and exponential
convergence are also investigated. The main results are illustrated by specific
models on the Wiener space and separable Hilbert spaces.

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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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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: eess
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom