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

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Let $$\pi $$ π be a factor map from a one-dimensional mixing shift of finite type X onto a sofic shift Y . We investigate when $$\pi $$ π sends… Click to show full abstract

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

Keywords: finite type; gibbs property; loss gibbs; property one; dimensional mixing; one dimensional

Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2018

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