Local uniform convergence and convergence of Julia sets

DOI10.1088/0951-7715/8/2/009zbMath0863.30036OpenAlexW1970071682WikidataQ123133636 ScholiaQ123133636MaRDI QIDQ4698553

Masashi Kisaka

Publication date: 11 June 1995

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/8/2/009

zbMATH Keywords

Hausdorff metricentire functionJulia set

Mathematics Subject Classification ID

Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Low-dimensional dynamical systems (37E99) Dynamical systems over complex numbers (37F99)

Related Items (6)

Dynamical approximation and kernels of non-escaping hyperbolic components ⋮ Dynamical convergence of a certain polynomial family to f_a(z) = z + e^z + a ⋮ On topological properties of Fatou sets and Julia sets of transcendental entire functions ⋮ Hausdorff Convergence and the Limit Shape of the Unicorns ⋮ Continuity of Julia set for a family of entire functions ⋮ Carathèodory convergence for Leau and Baker domains

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