Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non Gaussian Minkowski functionals and extrema counts for 2D sky maps   In the conference presentation we have reviewed the theory of non-Gaussian
geometrical measures for the 3D Cosmic Web of the matter distribution in the
Universe and 2D sky data, such as Cosmic Microwave Background (CMB) maps that
was developed in a series of our papers. The theory leverages symmetry of
isotropic statistics such as Minkowski functionals and extrema counts to
develop post- Gaussian expansion of the statistics in orthogonal polynomials of
invariant descriptors of the field, its first and second derivatives. The
application of the approach to 2D fields defined on a spherical sky was
suggested, but never rigorously developed. In this paper we present such
development treating effects of the curvature and finiteness of the spherical
space $S_2$ exactly, without relying on the flat-sky approximation. We present
Minkowski functionals, including Euler characteristic and extrema counts to the
first non-Gaussian correction, suitable for weakly non-Gaussian fields on a
sphere, of which CMB is the prime example.

14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs