On Hausdorff dimension of some Cantor attractors

DOI10.1007/BF02772540zbMath1147.37332arXivmath/0309191OpenAlexW1986223326MaRDI QIDQ814139

Feliks Przytycki, Genadi Levin

Publication date: 6 February 2006

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309191

zbMATH Keywords

critical pointunimodal mapsFeigenbaum-like attractors

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Dynamical systems involving maps of the interval (37E05) Universality and renormalization of dynamical systems (37E20) Dimension theory of smooth dynamical systems (37C45)

Related Items (3)

Common limits of Fibonacci circle maps ⋮ Hausdorff dimension of Cantor attractors in one-dimensional dynamics ⋮ Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality

Cites Work

• Unnamed Item
• The universal metric properties of nonlinear transformations
• On the abundance of aperiodic behaviour for maps on the interval
• Hausdorff dimension and conformal dynamics. I: Strong convergence of Kleinian groups
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• Quantitative universality for a class of nonlinear transformations
• Wild Cantor attractors exist
• Dynamics and universality of unimodal mappings with infinite criticality
• Dimension of invariant measures for maps with exponent zero
• Dimensions and Measures in Infinite Iterated Function Systems
• Renormalization and 3-Manifolds Which Fiber over the Circle
• Feigenbaum universality and the thermodynamic formalism

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