The Hausdorff dimension estimation for an ergodic hyperbolic measure of $C^1$-diffeomorphism
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- by Juan Wang and Yongluo Cao PDF
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Abstract:
This paper provides the Hausdorff dimension estimation for an ergodic hyperbolic measure of $C^1$-diffeomorphism on an $m$-dimensional compact Riemannian manifold with the assumption that its Oseledet’s splitting is a dominated splitting.References
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Additional Information
- Juan Wang
- Affiliation: Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu, People’s Republic of China – and – Department of Mathematics, Suzhou University of Science and Technology, Suzhou 215009, Jiangsu, People’s Republic of China
- MR Author ID: 1042029
- Email: wangjuan@mail.usts.edu.cn
- Yongluo Cao
- Affiliation: Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu, People’s Republic of China
- MR Author ID: 343275
- Email: ylcao@suda.edu.cn
- Received by editor(s): August 8, 2014
- Received by editor(s) in revised form: November 12, 2014
- Published electronically: April 16, 2015
- Communicated by: Yingfei Yi
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 119-128
- MSC (2010): Primary 37A05; Secondary 37D25, 37D30
- DOI: https://doi.org/10.1090/proc/12696
- MathSciNet review: 3415582