Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a surprising relation between the Marchenko-Pastur law, rectangular
  and square free convolutions   n this paper, we prove a result linking the square and the rectangular
R-transforms, the consequence of which is a surprising relation between the
square and rectangular versions the free additive convolutions, involving the
Marchenko-Pastur law. Consequences on random matrices, on infinite divisibility
and on the arithmetics of the square versions of the free additive and
multiplicative convolutions are given.

28
The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th