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- W3100995727 abstract "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." @default.
- W3100995727 created "2020-11-23" @default.
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- W3100995727 date "2020-11-10" @default.
- W3100995727 modified "2023-10-02" @default.
- W3100995727 title "Uniqueness of Minimizer for Countable Markov Shifts and Equidistribution of Periodic Points" @default.
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- W3100995727 doi "https://doi.org/10.1007/s10955-020-02670-5" @default.
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