Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal singularity at the closure of a gap in a random matrix theory   We consider a Hamiltonian $ H = H_0+ V $, in which $ H_0$ is a given
non-random Hermitian matrix,and $V$ is an $N \times N$ Hermitian random matrix
with a Gaussian probability distribution.We had shown before that Dyson's
universality of the short-range correlations between energy levels holds at
generic points of the spectrum independently of $H_{0}$. We consider here the
case in which the spectrum of $H_{0}$ is such that there is a gap in the
average density of eigenvalues of $H$ which is thus split into two pieces. When
the spectrum of $H_{0}$ is tuned so that the gap closes, a new class of
universality appears for the energy correlations in the vicinity of this
singular point.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: stat