Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cugliandolo-Kurchan equations for dynamics of Spin-Glasses   We study the Langevin dynamics for the family of spherical $p$-spin
disordered mean-field models and prove that in the limit of system size $N$
approaching infinity, the empirical state correlation and integrated response
functions converge almost surely and uniformly in time, to the non-random
unique strong solution of a pair of explicit non-linear integro-differential
equations introduced by Cugliandolo and Kurchan.

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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg