Lyapunov exponents, dual Lyapunov exponents, and multifractal analysis

DOI10.1063/1.166468zbMath1071.37502OpenAlexW2068651598WikidataQ73464048 ScholiaQ73464048MaRDI QIDQ4515121

Ai-Hua Fan, Yunping Jiang

Publication date: 12 November 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7ae02af7c38d14575527346ccc2710d797eefe4f

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

On bounded distortions of maps in the line

Cites Work

• Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\)
• Asymptotic differentiable structure on Cantor set
• Quantitative universality for a class of nonlinear transformations
• A PROOF OF THE RUELLE OPERATOR THEOREM

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