Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical behavior of mean-field XY and related models   We discuss spin models on complete graphs in the mean-field (infinite-vertex)
limit, especially the classical XY model, the Toy model of the Higgs sector,
and related generalizations. We present a number of results coming from the
theory of large deviations and Stein's method, in particular, Cram\'er and
Sanov-type results, limit theorems with rates of convergence, and phase
transition behavior for these models.

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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an