Quasisymmetrically inequivalent hyperbolic Julia sets

DOI10.4171/RMI/701zbMath1267.37044arXiv1011.5473OpenAlexW3100768964WikidataQ120782568 ScholiaQ120782568MaRDI QIDQ1759756

Kevin M. Pilgrim, Peter Haïssinsky

Publication date: 22 November 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5473

zbMATH Keywords

Julia setconformal dimensionquasisymmetric map

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) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Quasiconformal mappings in metric spaces (30L10)

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