Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Un th\'{e}or\`{e}me limite pour les covariances des spins dans le
  mod\`{e}le de Sherrington--Kirkpatrick avec champ externe   On \'{e}tudie la covariance (pour la mesure de Gibbs) des spins en deux sites
dans le cas d'un mod\`{e}le de Sherrington--Kirkpatrick avec champ externe;
lorsque le nombre de sites du mod\`{e}le tend vers l'infini, une \'{e}valuation
asymptotique des moments d'ordre $p$ de cette covariance permet d'obtenir un
th\'{e}or\`{e}me limite faible avec une loi limite en g\'{e}n\'{e}ral non
gaussienne. We study the covariance (for Gibbs measure) of spins at two sites
in the case of a Sherrington--Kirkpatrick model with an external field. When
the number of sites of the model grows to infinity, an asymptotic evaluation of
the $p$ moments of that covariance allows us to obtain a weak limit theorem,
with a generally non-Gaussian limit law.

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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc