Quasisymmetrically inequivalent hyperbolic Julia sets
Copyright policy )Quasisymmetrically inequivalent hyperbolic Julia sets
We give explicit examples of pairs of Julia sets of hyperbolic rational maps which are homeomorphic but not quasisymmetrically homeomorphic.
Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Julia set, Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, conformal dimension, 510, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, quasisymmetric map, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Quasiconformal mappings in metric spaces, FOS: Mathematics, Mathematics - Dynamical Systems
Conformal densities and Hausdorff dimension for holomorphic dynamical systems, Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], Julia set, Quasiconformal methods and Teichmüller theory, etc. (dynamical systems), Dynamical Systems (math.DS), Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable, conformal dimension, 510, Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets, quasisymmetric map, Quasiconformal mappings in \(\mathbb{R}^n\), other generalizations, Quasiconformal mappings in metric spaces, FOS: Mathematics, Mathematics - Dynamical Systems
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