Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of minimizer for countable Markov shifts and equidistribution
  of periodic points   For a finitely irreducible countable Markov shift and a potential with
summable variations, we provide a condition on the associated pressure function
which ensures that Bowen's Gibbs state, the equilibrium state, and the
minimizer of the level-2 large deviations rate function are all unique and they
coincide. From this, we deduce that all periodic points weighted with the
potential equidistribute with respect to the Gibbs-equilibrium state as the
periods tend to infinity. Applications are given to the Gauss map, and the
Bowen-Series map associated with a finitely generated free Fuchsian group with
parabolic elements.

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The categories of this paper are: chem-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: funct-an
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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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: econ
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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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: physics
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The categories of this paper are: eess
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The categories of this paper are: hep-ex