The Hausdorff dimension of the Smale-Williams solenoid with different contraction coefficients

DOI10.1090/S0002-9939-97-03600-9zbMath0865.58033OpenAlexW1555697242MaRDI QIDQ3127309

Károly Simon

Publication date: 8 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03600-9

zbMATH Keywords

Hausdorff dimensionattractorSmale-Williams solenoiddifferent contraction coefficients

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Hausdorff and packing measures (28A78) Dynamical systems with hyperbolic behavior (37D99)

Related Items (10)

Multifractal analysis of non-conformal repellers: a model case ⋮ Hausdorff dimension of Julia sets of unicritical correspondences ⋮ Correlation dimension and phase space contraction via extreme value theory ⋮ Multifractal analysis for Lyapunov exponents on nonconformal repellers ⋮ DIMENSION THEORY OF LINEAR SOLENOIDS ⋮ Extreme value laws in dynamical systems under physical observables ⋮ Dimension estimates in smooth dynamics: a survey of recent results ⋮ ALMOST ADDITIVE THERMODYNAMIC FORMALISM: SOME RECENT DEVELOPMENTS ⋮ Dimension of a class of intrinsically transversal solenoidal attractors in high dimensions ⋮ Hausdorff dimension of thin higher-dimensional solenoidal attractors

Cites Work

• On the dimension of deterministic and random Cantor-like sets
• The dimensions of some self-affine limit sets in the plane and hyperbolic sets
• Hausdorff dimension for non-invertible maps
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