Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: WKB-expansion of the HarishChandra-Itzykson-Zuber integral for arbitrary
  beta   This article is devoted to the asymptotic expansion of the generalized Harish
Chandra-Itzykson-Zuber matrix integral for non-unitary symmetries characterized
by a parameter beta(as usual beta =1,2 and 4 correspond to the orthogonal,
unitary and symplectic group integrals). A WKB-expansion for f is derived from
the heat kernel differential equation, for general values of k and beta. From
an expansion in terms of zonal polynomials, one obtain an expansion in powers
of the tau's for beta=1, and generalizations are considered for general beta. A
duality relation, and a transformation of products of pairs of symmetric
functions into tau polynomials, is used to obtain the expression for f(tau ij)
for general beta.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph