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Lyapunov exponents of hyperbolic measures and hyperbolic periodic orbits
Author(s):
Zhenqi
Wang;
Wenxiang
Sun
Journal:
Trans. Amer. Math. Soc.
362
(2010),
4267-4282.
MSC (2000):
Primary 37C40, 37D25
Posted:
March 1, 2010
MathSciNet review:
2608406
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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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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
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
Email:
sunwx@math.pku.edu.cn
DOI:
10.1090/S0002-9947-10-04947-0
PII:
S 0002-9947(10)04947-0
Keywords:
Lypunov exponent,
Pesin set,
hyperbolic measure
Received by editor(s):
June 11, 2008
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
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