Hausdorff dimension of quasi-cirles of polygonal mappings and its applications

DOI10.1007/s11425-012-4458-zzbMath1269.30028OpenAlexW2013201562MaRDI QIDQ1955503

Shu'an Tang, Sheng Jian Wu, Sheng Jin Huo

Publication date: 11 June 2013

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

Full work available at URL: https://doi.org/10.1007/s11425-012-4458-z

zbMATH Keywords

Teichmüller spaceHausdorff dimensionquasi-circlepolygonal mapping

Mathematics Subject Classification ID

Teichmüller theory for Riemann surfaces (30F60) Hausdorff and packing measures (28A78) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (2)

POLYGONAL QUASICONFORMAL MAPPINGS AND CHORD-ARC CURVES ⋮ A note on the density of a subset of all integrable holomorphic quadratic differentials

Cites Work

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• Dimension of quasicircles
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• Hausdorff dimension of quasi-circles
• Area distortion of quasiconformal mappings
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• Local boundary dilatation of quasiconformal maps in the disk
• Hausdorff dimensions of quasilines varying in the universal Teichmüller space
• Discrete conformal groups and measurable dynamics
• A note on Hamilton sequences for extremal Beltrami coefficients
• Repellers for real analytic maps
• Extremal quasiconformal mappings
• Divergence groups have the Bowen property

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