Uniform perfectness of the attractor of bi-Lipschitz IFS

DOI10.1007/s11425-006-0433-xzbMath1106.37014OpenAlexW2068198802MaRDI QIDQ862689

Yeshun Sun, Huo-Jun Ruan, Yongcheng Yin

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0433-x

zbMATH Keywords

iterated function systemsuniform perfectness

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

Quasisymmetric equivalence of self-similar sets ⋮ Sliding of self-similar sets ⋮ Lipschitz equivalence of a class of general Sierpinski carpets ⋮ Porosity of self-affine sets

Cites Work

• Unnamed Item
• Uniformly perfect sets and the Poincaré metric
• Julia sets of rational semigroups
• UNIFORMLY PERFECT ANALYTIC AND CONFORMAL ATTRACTOR SETS
• Julia Sets are Uniformly Perfect
• The Poincaré Metric of Plane Domains
• Uniform perfectness of self-affine sets
• Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s

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