Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Fluctuations for the Spherical Sherrington-Kirkpatrick Model in
  an External Field   We prove the existence of a critical regime for the fluctuations of the
ground-state energy of the spherical Sherrington-Kirkpatrick model in an
external field, confirming predictions given in [3,12]. We also establish a
critical regime for the fluctuations in a model with a critical Ferromagnetic
interaction term, producing a three-parameter family of distributions
generalizing the two-parameter family given in [4]. These results are both
established in the generality of a $\beta$-ensemble analogue of the spherical
Sherrington-Kirkpatrick model, which subsumes the complex and quarternionic
generalizations.

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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an