Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
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- by Zhenqi Wang and Wenxiang Sun
- Trans. Amer. Math. Soc. 362 (2010), 4267-4282
- DOI: https://doi.org/10.1090/S0002-9947-10-04947-0
- Published electronically: March 1, 2010
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Abstract:
Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.References
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Bibliographic Information
- Zhenqi Wang
- Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- Address at time of publication: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
- Email: wangzq@pku.org.cn, zuw104@psu.edu
- Wenxiang Sun
- Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China
- MR Author ID: 315192
- Email: sunwx@math.pku.edu.cn
- Received by editor(s): June 11, 2008
- Published electronically: March 1, 2010
- Additional Notes: The second author was supported by NNSFC (# 10231020, 10671006) and the National Basic Research Program of China(973 Program) (# 2006CB805900). The second author was the corresponding author for this paper
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 362 (2010), 4267-4282
- MSC (2000): Primary 37C40, 37D25
- DOI: https://doi.org/10.1090/S0002-9947-10-04947-0
- MathSciNet review: 2608406