Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Central Limit Theorem for Lipschitz-Killing Curvatures of Gaussian
  Excursions   This paper studies the excursion set of a real stationary isotropic Gaussian
random field above a fixed level. We show that the standardized
Lipschitz-Killing curvatures of the intersection of the excursion set with a
window converges in distribution to a normal distribution as the window grows
to the $d$-dimensional Euclidean space. Moreover a lower bound for the
asymptotic variance is shown.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex