Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limiting Behavior for the Excursion Area of Band-Limited Spherical
  Random Fields   In this paper, we investigate some geometric functionals for band limited
Gaussian and isotropic spherical random fields in dimension 2. In particular,
we focus on the area of excursion sets, providing its behavior in the high
energy limit. Our result is based on Wiener chaos expansion for non linear
transform of Gaussian fields and on an explicit derivation on the
high-frequency limit of the covariance function of the field. As a simple
corollary we establish also the Central Limit Theorem for the excursion area.

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The categories of this paper are: physics
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
36
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: adap-org
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an