The Lyapunov exponents of C 1 hyperbolic systems |
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| Authors: | YunHua Zhou WenXiang Sun |
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| Affiliation: | 1. College of Mathematics and Physics, Chongqing University, Chongqing, 400044, China
2. School of Mathematical Sciences, Peking University, Beijing, 100871, China
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| Abstract: | Let f be a C 1 diffeomorphisim of smooth Riemannian manifold and preserve a hyperbolic ergodic measure µ. We prove that if the Osledec splitting is dominated, then the Lyapunov exponents of µ can be approximated by the exponents of atomic measures on hyperbolic periodic orbits. |
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