Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global fluctuation formulas and universal correlations for random
  matrices and log-gas systems at infinite density   It is shown how the universal correlation function of Brezin and Zee, and
Beenakker, for random matrix ensembles of Wigner-Dyson type with density
support on a finite interval can be derived using a linear response argument
and macroscopic electrostatics. The analogous formula for ensembles of unitary
random matrices is derived using the same method, and the corresponding global
fluctuation formula for the variance of a linear statistic is presented. The
result for the universal correlation is checked using an exact result for the
finite system two-point correlation in the Dyson circular ensemble at all even
$\beta$.

18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph