Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of a surface integral under local Malliavin assumption and
  integration by parts formulae   In this paper, we consider convex sets $K_r = \{g \ge r\}$ in an infinite
dimensional Hilbert space, where $g$ is suitably related to a reference
Gaussian measure $\mu$ in $H$. We first show how to define a surface measure on
the level sets $\{g = r\}$ that is related to $\mu$. This allows to introduce
an integration-by-parts formula in $H$. This formula can be applied in several
important constructions, as for instance the case where $\mu$ is the law of a
(Gaussian) stochastic process and $H$ is the space of its trajectories

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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat