Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Brown measure of the sum of a self-adjoint element and an elliptic
  element   We compute the Brown measure of the sum of a self-adjoint element and an
elliptic element. We prove that the push-forward of this Brown measure of a
natural map is the law of the free convolution of the self-adjoint element and
the semicircle law; it is also a push-forward measure of the Brown measure of
the sum of the self-adjoint element and a circular element by another natural
map. We also study various asymptotic behaviors of this family of Brown
measures as the variance of the elliptic element approaches infinity.

13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an