Equivalent characterizations of hyperbolic Hölder potential for interval maps
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Abstract:
Consider a topologically exact $C^3$ interval map without non-flat critical points. Following previous work we did, we give two equivalent characterizations of hyperbolic Hölder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials.References
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Additional Information
- Huaibin Li
- Affiliation: School of Mathematics and Information Science, Henan University, Kaifeng 475004, People’s Republic of China
- Email: lihbmath@henu.edu.cn
- Received by editor(s): November 5, 2013
- Published electronically: December 10, 2014
- Additional Notes: The author was supported by the National Natural Science Foundation of China (Grant No. 11101124; and Grant No. 11471098)
- Communicated by: Nimish Shah
- © Copyright 2014 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 143 (2015), 2129-2141
- MSC (2010): Primary 37D35, 37E05
- DOI: https://doi.org/10.1090/S0002-9939-2014-12568-8
- MathSciNet review: 3314121