The dimension spectrum of Axiom A attractors

DOI10.1007/BF01026557zbMath0713.58031WikidataQ114694117 ScholiaQ114694117MaRDI QIDQ749954

D. Kharzeev

Publication date: 1990

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

zbMATH Keywords

thermodynamic formalismHausdorff dimension spectrumhyperpolic attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (4)

Statistical properties of chaos demonstrated in a class of one-dimensional maps ⋮ Dimension spectrum of Axiom A diffeomorphisms. II: Gibbs measures ⋮ Unnamed Item ⋮ On the multifractal analysis of Bernoulli convolutions. I: Large-deviation results.

Cites Work

• Unnamed Item
• Unnamed Item
• The Lyapunov dimension of strange attractors
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Some relations between dimension and Lyapunov exponents
• The dimension spectrum of some dynamical systems
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Fractal measures and their singularities: The characterization of strange sets
• Gibbs measures for partially hyperbolic attractors
• Dimension, entropy and Lyapunov exponents
• A Measure Associated with Axiom-A Attractors
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Ergodic theory of chaos and strange attractors
• Feigenbaum universality and the thermodynamic formalism
• SOME SMOOTH ERGODIC SYSTEMS
• Similarity of automorphisms of the torus
• Differentiable dynamical systems
• GIBBS MEASURES IN ERGODIC THEORY
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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