Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group Representations and High-Resolution Central Limit Theorems for
  Subordinated Spherical Random Fields   We study the weak convergence (in the high-frequency limit) of the frequency
components associated with Gaussian-subordinated, spherical and isotropic
random fields. In particular, we provide conditions for asymptotic Gaussianity
and we establish a new connection with random walks on the the dual of SO(3),
which mirrors analogous results previously established for fields defined on
Abelian groups (see Marinucci and Peccati (2007)). Our work is motivated by
applications to cosmological data analysis, and specifically by the
probabilistic modelling and the statistical analysis of the Cosmic Microwave
Background radiation, which is currently at the frontier of physical research.
To obtain our main results, we prove several fine estimates involving
convolutions of the so-called Clebsch-Gordan coefficients (which are elements
of unitary matrices connecting reducible representations of SO(3)); this allows
to intepret most of our asymptotic conditions in terms of coupling of angular
momenta in a quantum mechanical system. Part of the proofs are based on
recently established criteria for the weak convergence of multiple Wiener-It\^o
integrals.

23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th