Laws of the iterated logarithm for transitive \(C^ 2\) Anosov flows and semiflows over maps of the interval

DOI10.1007/BF01301935zbMath0483.60018MaRDI QIDQ1163292

Sherman Wong

Publication date: 1982

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178093

zbMATH Keywords

law of the iterated logarithmcentral limit theoremGibbs measureAnosov flowspecial flow

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics induced by flows and semiflows (37C10) Functional limit theorems; invariance principles (60F17) Dynamical systems with hyperbolic behavior (37D99) One-parameter continuous families of measure-preserving transformations (28D10)

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Cites Work

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• Bernoulli flows over maps of the interval
• The structure of Lorenz attractors
• Ergodic properties of invariant measures for piecewise monotonic transformations
• The ergodic theory of axiom A flows
• The central limit theorem for geodesic flows on \(n\)-dimensional manifolds of negative curvature
• The Law of the Iterated Logarithm for Some Classes of Stationary Processes
• On the Dispersion of Time-Dependent Means of a Stationary Stochastic Process
• Some Limit Theorems for Stationary Processes
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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