Multifractal analysis of the Lyapunov spectrum

DOI10.1016/S0960-0779(01)00104-7zbMath0998.37005OpenAlexW2062694534MaRDI QIDQ1610044

Fernando Vericat, Alejandro M. Mesón

Publication date: 18 August 2002

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(01)00104-7

zbMATH Keywords

Lyapunov spectrummultifractal analysis

Mathematics Subject Classification ID

Fractals (28A80) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

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Variational analysis for the multifractal spectra of local entropies and Lyapunov exponents ⋮ Geometric constructions and multifractal analysis for boundary hyperbolic maps ⋮ Simultaneous multifractal decompositions for the spectra of local entropies and ergodic averages ⋮ Multifractal analysis for the Teichmüller flow ⋮ The entropies and multifractal spectrum of some compact systems ⋮ A multifractal formalism for countable alphabet subshifts

Cites Work

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• The infinite number of generalized dimensions of fractals and strange attractors
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• A multifractal analysis of equilibrium measures for conformal expanding maps and Moran-like geometric constructions
• The Lyapunov spectrum for conformal expanding maps and Axiom-A surface diffeomorphisms
• Multifractal analysis of local entropies for expansive homeomorphisms with specification
• The dimension spectrum of some dynamical systems
• Dimension Function and Phase Transition-Like Behavior in Strange Attractors
• On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity
• Periodic Points and Measures for Axiom a Diffeomorphisms