Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic free independence and entry permutations for Gaussian random
  matrices   The paper presents conditions on entry permutations that induce asymptotic
freeness when acting on Gaussian random matrices. The class of permutations
described includes the matrix transpose, as well as entry permutations relevant
in Quantum Information Theory and Quantum Physics.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an