Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps

DOI10.3934/dcds.2016.36.3375zbMath1334.37045arXiv1311.3727OpenAlexW2963417572MaRDI QIDQ255927

Fei Yang, Yongcheng Yin, Wei-Yuan Qiu

Publication date: 9 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3727

zbMATH Keywords

Julia setsrational mapsCantor circlesquasisymmetrically equivalent

Mathematics Subject Classification ID

Related Items (3)

Connectivity of the Julia sets of singularly perturbed rational maps ⋮ Quasisymmetric geometry of the Julia sets of McMullen maps ⋮ Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets

Cites Work

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• On the dynamics of the McMullen family 𝑅(𝑧)=𝑧^{𝑚}+𝜆/𝑧^{ℓ}
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• Rational maps whose Julia sets are Cantor circles
• Dynamics in One Complex Variable. (AM-160)

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