Rational maps whose Fatou components are Jordan domains

DOI10.1017/S0143385700010051zbMath0894.30017arXivmath/9412205OpenAlexW2963964185MaRDI QIDQ5284773

Kevin M. Pilgrim

Publication date: 13 August 1998

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9412205

zbMATH Keywords

Fatou setJordan domains

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamical systems over complex numbers (37F99) Dynamical systems with hyperbolic behavior (37D99)

Related Items (12)

Quasisymmetries of Sierpiński carpet Julia sets ⋮ On a family of rational perturbations of the doubling map ⋮ A bounded sequence of bitransitive and capture Sierpiński curve Julia sets for 3-circle inversions ⋮ Singular perturbations of the unicritical polynomials with two parameters ⋮ A criterion to generate carpet Julia sets ⋮ Captures, matings and regluings ⋮ Unnamed Item ⋮ Julia sets as buried Julia components ⋮ On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation ⋮ On the non-monotonicity of entropy for a class of real quadratic rational maps ⋮ Singular perturbations of complex polynomials ⋮ Julia Sets and Complex Singularities of Free Energies

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
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