Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Statistical properties of eigenvectors in non-Hermitian Gaussian random
  matrix ensembles   Statistical properties of eigenvectors in non-Hermitian random matrix
ensembles are discussed, with an emphasis on correlations between left and
right eigenvectors. Two approaches are described. One is an exact calculation
for Ginibre's ensemble, in which each matrix element is an independent,
identically distributed Gaussian complex random variable. The other is a
simpler calculation using $N^{-1}$ as an expansion parameter, where $N$ is the
rank of the random matrix: this is applied to Girko's ensemble. Consequences of
eigenvector correlations which may be of physical importance in applications
are also discussed. It is shown that eigenvalues are much more sensitive to
perturbations than in the corresponding Hermitian random matrix ensembles. It
is also shown that, in problems with time-evolution governed by a non-
Hermitian random matrix, transients are controlled by eigenvector correlations.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph