Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations of the overlap at low temperature in the 2-spin spherical
  SK model   We describe the fluctuations of the overlap between two replicas in the
2-spin spherical SK model about its limiting value in the low temperature
phase. We show that the fluctuations are of order $N^{-1/3}$ and are given by a
simple, explicit function of the eigenvalues of a matrix from the Gaussian
Orthogonal Ensemble. We show that this quantity converges and describe its
limiting distribution in terms of the Airy1random point field (i.e., the joint
limit of the extremal eigenvalues of the GOE) from random matrix theory.

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The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg