Cantor sets constructed by infinitely renormalizable diffeomorphisms

DOI10.1016/0166-8641(96)00071-5zbMath0864.58041OpenAlexW2027257693MaRDI QIDQ1815333

Naoya Sumi

Publication date: 7 November 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(96)00071-5

zbMATH Keywords

Hausdorff dimensiontopological entropyminimal setinfinitely renormalizable diffeomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Entropy in general topology (54C70) Hausdorff and packing measures (28A78)

Cites Work

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• The periodic points of maps of the disk and the interval
• Kupka-Smale extensions of Cantor set homeomorphisms without sources or sinks
• Henon-like maps with strange attractors: there exist C^∞Kupka-Smale diffeomorphisms on S²with neither sinks nor sources
• Wandering Domains for Infinitely Renormalizable Diffeomorphisms of the Disk

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