Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the path-independence of the Girsanov transformation for stochastic
  evolution equations with jumps in Hilbert spaces   Based on a recent result on characterising the path-independence of the
Girsanov transformation for non-Lipschnitz stochastic differential equations
(SDEs) with jumps on $R^d$, in this paper, we extend our consideration of
characterising the path-indpendent property from finite-dimensional SDEs with
jumps to stochastic evolution equations with jumps in Hilbert spaces. This is
done via Galerkin type finite-dimensional approximations of the
infinite-dimensional stochastic evolution equations with jumps in the manner
that one could then link the characterisation of the path-independence for
finite-dimensional jump type SDEs to that for the infinite-dimensional
settings. Our result provides an intrinsic link of infinite-dimensional
stochastic evolution equations with jumps to infinite-dimensional partial
integro-differential equations.

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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con