Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal random matrix correlations of ratios of characteristic
  polynomials at the spectral edges   It has been shown recently [10] that Cauchy transforms of orthogonal
polynomials appear naturally in general correlation functions containing ratios
of characteristic polynomials of random NxN Hermitian matrices. Our main goal
is to investigate the issue of universality of large N asymptotics for those
Cauchy transforms for a wide class of weight functions. Our analysis covers
three different scaling regimes: the "hard edge", the "bulk" and the "soft
edge" of the spectrum, thus extending the earlier results known for the bulk.
The principal tool is to show that for finite matrix size N the auxiliary "wave
functions" associated with the Cauchy transforms obey the same second order
differential equation as those associated with the orthogonal polynomials
themselves.

21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg