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Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits

Authors: Zhenqi Wang and Wenxiang Sun
Journal: Trans. Amer. Math. Soc. 362 (2010), 4267-4282
MSC (2000): Primary 37C40, 37D25
Published electronically: March 1, 2010
MathSciNet review: 2608406
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Abstract | References | Similar Articles | Additional Information

Abstract: Lyapunov exponents of a hyperbolic ergodic measure are approximated by Lyapunov exponents of hyperbolic atomic measures on periodic orbits.

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Additional 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

Wenxiang Sun
Affiliation: LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People’s Republic of China

Keywords: Lypunov exponent, Pesin set, hyperbolic measure
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
Article copyright: © Copyright 2010 American Mathematical Society

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