The size of Julia sets of quasiregular maps

zbMath1389.37025arXiv1303.7243MaRDI QIDQ5264669

Walter Bergweiler

Publication date: 27 July 2015

Full work available at URL: https://arxiv.org/abs/1303.7243

zbMATH Keywords

iterationcapacityJulia setHausdorff dimensionHausdorff measureFatou set

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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