Hausdorff dimension of Julia set of a polynomial with a Siegel disk

DOI10.1007/s11425-006-1284-1zbMath1130.37379OpenAlexW1896849732WikidataQ123236151 ScholiaQ123236151MaRDI QIDQ867771

Liang Shen

Publication date: 16 February 2007

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

Full work available at URL: https://doi.org/10.1007/s11425-006-1284-1

zbMATH Keywords

Hausdorff dimensionSiegel diskporous set

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (2)

Hausdorff dimension of quadratic rational Julia sets ⋮ A note on a quadratic rational map with two Siegel disks

Cites Work

• Self-similarity of Siegel disks and Hausdorff dimension of Julia sets
• Complex dynamics
• Local connectivity of some Julia sets containing a circle with an irrational rotation
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• On critical circle homeomorphisms
• Frontiers in complex dynamics
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