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Equivalent characterizations of hyperbolic Hölder potential for interval maps


Author: Huaibin Li
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
Published electronically: December 10, 2014
MathSciNet review: 3314121
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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.


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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

DOI: https://doi.org/10.1090/S0002-9939-2014-12568-8
Keywords: Interval maps, hyperbolic H\"older continuous potentials, positive Lyapunov exponent
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
Article copyright: © Copyright 2014 American Mathematical Society