The Lyapunov spectrum for conformal expanding maps and Axiom-A surface diffeomorphisms

DOI10.1023/A:1004591209134zbMath0948.37031OpenAlexW2117328022MaRDI QIDQ1308048

Howard Weiss

Publication date: 22 November 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004591209134

zbMATH Keywords

Hausdorff dimensionLyapunov spectrummultifractal analysisLyapunov exponentdimension spectrumexpanding mapMarkov mapspointwise dimensionAxiom-A surface diffeomorphismconformal repeller

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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