Hausdorff dimensions in two-dimensional maps and thermodynamic formalism

DOI10.1007/BF01023644zbMath0713.58032MaRDI QIDQ749956

Sandro Vaienti, Giovanni Paladin

Publication date: 1989

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

zbMATH Keywords

strange attractorsthermodynamic formalismHausdorff dimensionGibbs statesgeneralized Lyapunov exponents

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (2)

Correlation dimension and phase space contraction via extreme value theory ⋮ Some results on the behavior and estimation of the fractal dimensions of distributions on attractors

Cites Work

• Unnamed Item
• Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent
• Ergodic properties of the Lozi mappings
• Some characterizations of strange sets
• The dimension spectrum of some dynamical systems
• Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Statistical Dynamics Generated by Fluctuations of Local Lyapunov Exponents
• Hausdorff dimension for horseshoes
• Escape from strange repellers
• Dimension, entropy and Lyapunov exponents
• On the geometric structure of non-hyperbolic attractors
• A Variational Principle for the Pressure of Continuous Transformations
• Ergodic theory of chaos and strange attractors
• Looking at the equilibrium measures in dynamical systems

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