Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotic distribution of the determinant of a random correlation
  matrix   Random correlation matrices are studied for both theoretical interestingness
and importance for applications. The author of [6] is interested in their
interpretation as covariance matrices of purely random signals, the authors of
[16] employ them in the generation of random clusters for studying clustering
methods, whereas the authors of [8] use them for studying subset selection in
multiple regression, etc. The determinant of a matrix is one of the most basic
and important matrix functions, and this makes studying the distribution of the
determinant of a random correlation matrix of paramount importance. Our main
result gives the asymptotic distribution of the determinant of a random
correlation matrix sampled from a uniform distribution over the space of $d
\times d$ correlation matrices. Several spin-off results are proven along the
way, and an interesting connection with the law of the determinant of general
random matrices, proven in [15], is investigated.

1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org