A topological classification of locally constant potentials via zero-temperature measures
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- by Christian Wolf and Yun Yang PDF
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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.References
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Additional Information
- Christian Wolf
- Affiliation: Department of Mathematics, The City College of New York, New York, New York 10031; The Graduate Center, CUNY, New York, New York 10016
- MR Author ID: 673329
- Email: cwolf@ccny.cuny.edu
- Yun Yang
- Affiliation: Department of Mathematics, The Graduate Center, CUNY, New York, New York 10016
- MR Author ID: 1124470
- Email: yyang@gc.cuny.edu
- Received by editor(s): August 30, 2017
- Received by editor(s) in revised form: June 1, 2018, and June 27, 2018
- Published electronically: May 20, 2019
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 3113-3140
- MSC (2010): Primary 37B10, 37D35, 37L40
- DOI: https://doi.org/10.1090/tran/7659
- MathSciNet review: 3988604