Positive area and inaccessible fixed points for hedgehogs

DOI10.1017/etds.2014.143zbMath1351.37194arXiv1010.4496OpenAlexW2090151972MaRDI QIDQ2827498

Kingshook Biswas

Publication date: 20 October 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4496

zbMATH Keywords

Hausdorff dimensionrigid rotationholomorphic diffeomorphism

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Quasiconformal mappings in the complex plane (30C62) Rotation numbers and vectors (37E45) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (1)

Loewner evolution of hedgehogs and 2-conformal measures of circle maps

Cites Work

• Quadratic Julia sets with positive area
• Smooth combs inside hedgehogs
• Relatively compact Siegel disks with non-locally connected boundaries
• Fixed points and circle maps
• Non linearizable holomorphic dynamics having an uncountable number of symmetries
• Hedgehogs of Hausdorff dimension one
• Sur les dynamiques holomorphes non linéarisables et une conjecture de V. I. Arnold

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