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arxiv: 1812.06219 · v1 · pith:SE46Z5AVnew · submitted 2018-12-15 · 🧮 math.DS

Loss of Gibbs property in one-dimensional mixing shifts of finite type

classification 🧮 math.DS
keywords finitegibbsmeasuresmixingone-dimensionalshifttypefactor
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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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