Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large-$N$ Eigenvalue Distribution of Randomly Perturbed Asymmetric
  Matrices   The density of complex eigenvalues of random asymmetric $N\times N$ matrices
is found in the large-$N$ limit. The matrices are of the form $H_0+A$ where $A$
is a matrix of $N^2$ independent, identically distributed random variables with
zero mean and variance $N^{-1}v^2$. The limiting density $\rho (z,z^*)$ is
bounded. The area of the support of $\rho (z,z^*)$ cannot be less than $\pi
v^2$. In the case of $H_0$ commuting with its conjugate, $\rho (z,z^*)$ is
expressed in terms of the eigenvalue distribution of the non-perturbed part
$H_0$.

26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th