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Loss of Gibbs Property in One-Dimensional Mixing Shifts of Finite Type

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Abstract

Let \(\pi \) be a factor map from a one-dimensional mixing shift of finite type X onto a sofic shift Y. We investigate when \(\pi \) sends Gibbs measures on X to non-Gibbs measures on Y.

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Acknowledgements

Funding was provided by Hongik University (KR).

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  1. Hongik University, 2639, Sejong-ro, Jochiwon-eup, Sejong, South Korea

    Soonjo Hong

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Hong, S. Loss of Gibbs Property in One-Dimensional Mixing Shifts of Finite Type. Qual. Theory Dyn. Syst. 19, 19 (2020). https://doi.org/10.1007/s12346-020-00360-x

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