Multifractal spectra and multifractal rigidity for horseshoes

DOI10.1007/BF02471761zbMath0949.37017MaRDI QIDQ1972738

Luis Barreira, Jörg Schmeling, Ya. B. Pesin

Publication date: 13 April 2000

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

surface diffeomorphismsGibbs measuresmultifractalitytwo-dimensional horseshoes

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Topological entropy of level sets of empirical measures for non-uniformly expanding maps ⋮ Dimension spectra of hyperbolic flows ⋮ The thermodynamic approach to multifractal analysis ⋮ On multifractal analysis and large deviations of singular hyperbolic attractors ⋮ On the topological entropy of saturated sets for amenable group actions ⋮ Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets ⋮ Sets of ``non-typical points have full topological entropy and full Hausdorff dimension ⋮ Multifractal analysis for projections of Gibbs and related measures ⋮ Multifractal nonrigidity of topological Markov chains ⋮ Multifractal analysis and phase transitions for hyperbolic and parabolic horseshoes

Cites Work

• Dimension spectrum of Axiom A diffeomorphisms. II: Gibbs measures
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• The multifractal analysis of Gibbs measures: Motivation, mathematical foundation, and examples
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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