2018/04/20 by Christian Wolf, Yun Yang, Wolf, Christian +1
Mathematics · Computer Science · Physics and Astronomy · #Mathematical Dynamics and Fractals #Cellular Automata and Applications #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1804.07822
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.