Stability of Hausdorff dimension of Axiom A attractors under random perturbations

DOI10.1007/s11766-008-0214-0zbMath1174.28004OpenAlexW2099905112WikidataQ114017268 ScholiaQ114017268MaRDI QIDQ1003942

Yang Zhao

Publication date: 6 March 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-0214-0

zbMATH Keywords

Hausdorff dimensionrandom dynamical systemAxiom A attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Hausdorff and packing measures (28A78)

Cites Work

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• Hausdorff dimension of invariant sets for random dynamical systems
• Random perturbations of Axiom A basic sets
• The Hausdorff dimension of conformal repellers under random perturbation
• The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
• Dimension of hyperbolic measures of random diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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