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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… Click to show full 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.
Keywords:
zero temperature;
classification locally;
temperature measures;
topological classification;
locally constant
Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
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Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!