Multifractal analysis of conformal Axiom A flows

DOI10.1007/s002200000329zbMath0992.37023OpenAlexW1984520297WikidataQ114018270 ScholiaQ114018270MaRDI QIDQ5940482

Victoria Sadovskaya, Ya. B. Pesin

Publication date: 9 August 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200000329

zbMATH Keywords

Lyapunov exponentsgeodesic flowsHausdorff dimensionAnosov flowsmultifractal analysisconformal Axiom A flowsdimension spectrumGibbs measuressurpensions

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fractals (28A80) Hausdorff and packing measures (28A78) Dimension theory of smooth dynamical systems (37C45)

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Dimension of measures for suspension flows ⋮ Non-hyperbolic behavior of geodesic flows of rank 1 surfaces ⋮ Dimension spectra of hyperbolic flows ⋮ Hausdorff dimension and asymptotic cycles ⋮ The thermodynamic approach to multifractal analysis ⋮ Lyapunov spectrum for geodesic flows of rank 1 surfaces ⋮ Quantum decay rates in chaotic scattering ⋮ Singularity of projections of 2-dimensional measures invariant under the geodesic flow ⋮ Oseledets regularity functions for Anosov flows ⋮ Suspension flows over countable Markov shifts ⋮ Pressures for flows on arbitrary subsets ⋮ On the wavelet formalism for multifractal analysis ⋮ Recurrence rates for observations of flows ⋮ Delocalization of slowly damped eigenmodes on Anosov manifolds ⋮ Thermodynamic formalism for contracting Lorenz flows ⋮ Projections of Measures Invariant Under the Geodesic Flow ⋮ Unstable entropies and dimension theory of partially hyperbolic systems ⋮ Dimension spectra for flows: future and past ⋮ Dimension theory of flows: a survey

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