A relation between Lyapunov exponents, Hausdorff dimension and entropy
- 1 December 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (4), 451-459
- https://doi.org/10.1017/s0143385700001371
Abstract
For an Axiom A diffeomorphism of a surface with an ergodic invariant measure we prove that the entropy is the product of the positive Lyapunov exponent and the Hausdorff dimension of the set of generic points in an unstable manifold.Keywords
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