Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of Spherical Monofractal and Multifractal Random Fields   The R\'enyi function plays an important role in the analysis of multifractal
random fields. For random fields on the sphere, there are three models in the
literature where the R\'enyi function is known explicitly. The theoretical part
of the article presents multifractal random fields on the sphere and develops
specific models where the R\'enyi function can be computed explicitly. Then
these results are applied to the Cosmic Microwave Background Radiation data
collected from the Planck mission. The main statistical model used to describe
these data in the literature is isotropic Gaussian fields. We present numerical
multifractality studies and methodology based on simulating random fields,
computing the R\'enyi function and the multifractal spectrum for different
scenarios and actual CMB data.

30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an