Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gaussian fluctuations for linear eigenvalue statistics of products of
  independent iid random matrices   Consider the product $X = X_{1}\cdots X_{m}$ of $m$ independent $n\times n$
iid random matrices. When $m$ is fixed and the dimension $n$ tends to infinity,
we prove Gaussian limits for the centered linear spectral statistics of $X$ for
analytic test functions. We show that the limiting variance is universal in the
sense that it does not depend on $m$ (the number of factor matrices) or on the
distribution of the entries of the matrices. The main result generalizes and
improves upon previous limit statements for the linear spectral statistics of a
single iid matrix by Rider and Silverstein as well as Renfrew and the second
author.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th