Computing the pressure for Axiom-A attractors by time series and large deviations for the Lyapunov exponent

DOI10.1007/BF01044443zbMath0712.58040WikidataQ114694108 ScholiaQ114694108MaRDI QIDQ748987

Sandro Vaienti

Publication date: 1989

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

zbMATH Keywords

Lyapunov exponentsthermodynamic formalismlarge deviationstopological entropytopological pressurehyperbolic attractors

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Entropy in general topology (54C70)

Related Items (5)

Gibbs measures and power spectra for type I intermittent maps ⋮ On the estimation of topological entropy ⋮ Large Deviations in Dynamical Systems and Stochastic Processes ⋮ Hausdorff dimensions in two-dimensional maps and thermodynamic formalism ⋮ Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states

Cites Work

• Unnamed Item
• Ergodic properties of the Lozi mappings
• The ergodic theory of axiom A flows
• Generalized dimensions, entropies, and Lyapunov exponents from the pressure function for strange sets.
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Fan's theorem concerning systems of convex inequalities and its applications
• A Measure Associated with Axiom-A Attractors
• Generalised spectra for the dimensions of strange sets
• Some properties of mixing repellers
• Looking at the equilibrium measures in dynamical systems
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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