Hausdorff dimension, strong hyperbolicity and complex dynamics

DOI10.3934/dcds.1998.4.405zbMath0954.37019OpenAlexW2052649885MaRDI QIDQ1576780

Gunter Ochs, Shmuel Friedland

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1998.4.405

zbMATH Keywords

structural stabilityHausdorff dimensionGibbs measurepolynomial mapsstrong hyperbolicityholomorphic self-mapsAxiom A surface diffeomorphismstrong Axiom A diffeomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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On measures of maximal and full dimension for polynomial automorphisms of ℂ² ⋮ The Hausdorff and dynamical dimensions of self-affine sponges: a dimension gap result ⋮ Generalized physical and SRB measures for hyperbolic diffeomorphisms

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