A topological classification of locally constant potentials via zero-temperature measures

Wolf, Christian; Yang, Yun

doi:10.1090/tran/7659

A topological classification of locally constant potentials via zero-temperature measures
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by Christian Wolf and Yun Yang PDF

Trans. Amer. Math. Soc. 372 (2019), 3113-3140 Request permission

Abstract:

We provide a topological classification of locally constant functions over subshifts of finite type via their zero-temperature measures. Our approach is to analyze the relationship between the distribution of the zero-temperature measures and the boundary of higher dimensional generalized rotation sets. We also discuss the regularity of the localized entropy function on the boundary of the generalized rotation sets.

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