Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Deviation From L\'evy's Occupation Time Arcsine Law   We prove a geometric extension of L\'evy's occupation time arcsine law near a
hypersurface on a Riemannian manifold. The deviation from the classic arcsine
law is of the order of the square-root of the time horizon and is expressed
explicitly in terms of the mean curvature of the hypersurface and the local
time of the underlying standard Brownian motion.

9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
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The categories of this paper are: stat
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex