Mathematics > Dynamical Systems
[Submitted on 20 Apr 2018 (v1), last revised 27 Sep 2018 (this version, v3)]
Title:A topological classification of locally constant potentials via zero-temperature measures
View PDFAbstract: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.
Submission history
From: Yun Yang [view email][v1] Fri, 20 Apr 2018 20:53:38 UTC (303 KB)
[v2] Mon, 16 Jul 2018 14:29:00 UTC (310 KB)
[v3] Thu, 27 Sep 2018 16:19:01 UTC (310 KB)
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