Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics of k dimensional spherical integrals and applications   In this article, we prove that k-dimensional spherical integrals are
asymptotically equivalent to the product of 1-dimensional spherical integrals.
This allows us to generalize several large deviations principles in random
matrix theory known before only in a one-dimensional case. As examples, we
study the universality of the large deviations for k extreme eigenvalues of
Wigner matrices (resp. Wishart matrices, resp. matrices with general variance
profiles) with sharp sub-Gaussian entries, as well as large deviations
principles for extreme eigenvalues of Gaussian Wigner and Wishart matrices with
a finite dimensional perturbation.

16
The categories of this paper are: stat
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con