Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps

DOI10.1007/s12044-014-0203-6zbMath1333.37050arXiv1204.1282OpenAlexW2097950032MaRDI QIDQ2018810

Fei Yang, Xiaoguang Wang

Publication date: 25 March 2015

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1282

zbMATH Keywords

Julia setsHausdorff dimensionMcMullen maps

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dimension theory of smooth dynamical systems (37C45)

Related Items (3)

On the Hausdorff dimension of the Sierpiński Julia sets ⋮ Quasisymmetric uniformization and Hausdorff dimensions of Cantor circle Julia sets ⋮ Asymptotics of the Hausdorff dimensions of the Julia sets of McMullen maps with error bounds*

Cites Work

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• 1/s-expansion for generalized dimensions in a hierarchical s-state Potts model
• Repellers for real analytic maps
• Complex Dynamics and Renormalization (AM-135)
• Julia sets converging to the unit disk

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