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The Lyapunov Spectrum for Conformal Expanding Maps and Axiom-A Surface Diffeomorphisms

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Abstract

We provide a detailed description of the decomposition of a conformal repeller by the level sets of the Lyapunov exponent, along with a similar result for Axiom-A surface diffeomorphisms.

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Weiss, H. The Lyapunov Spectrum for Conformal Expanding Maps and Axiom-A Surface Diffeomorphisms. Journal of Statistical Physics 95, 615–632 (1999). https://doi.org/10.1023/A:1004591209134

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