Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random fields and the geometry of Wiener space   In this work we consider infinite dimensional extensions of some finite
dimensional Gaussian geometric functionals called the Gaussian Minkowski
functionals. These functionals appear as coefficients in the probability
content of a tube around a convex set $D\subset\mathbb{R}^k$ under the standard
Gaussian law $N(0,I_{k\times k})$. Using these infinite dimensional extensions,
we consider geometric properties of some smooth random fields in the spirit of
[Random Fields and Geometry (2007) Springer] that can be expressed in terms of
reasonably smooth Wiener functionals.

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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph