Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New correlation functions for random matrices and integrals over
  supergroups   The averages of ratios of characteristic polynomials det(lambda - X) of N x N
random matrices X, are investigated in the large N limit for the GUE, GOE and
GSE ensemble. The density of states and the two-point correlation function are
derived from these ratios. The method relies on an extension of the
Harish-Chandra-Itzykson-Zuber integrals to the GOE ensemble and to supergroups,
which are explicitly evaluated as solutions of heat kernel differential
equations. An external matrix source, linearly coupled to the random matrices,
may also be added to the Gaussian distribution, and allows for a discussion of
universality of the GOE results in the large N limit.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio