Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-uniqueness of Gibbs Measure for Models With Uncountable Set of Spin
  Values on a Cayley Tree   In this paper we construct several models with nearest-neighbor interactions
and with the set $[0,1]$ of spin values, on a Cayley tree of order $k\geq 2$.
We prove that each of the constructed model has at least two
translational-invariant Gibbs measures.

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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an