Julia sets of rational functions are uniformly perfect

DOI10.1017/S0305004100076192zbMath0785.30012OpenAlexW2110606777WikidataQ123330442 ScholiaQ123330442MaRDI QIDQ4272600

Aimo Hinkkanen

Publication date: 13 April 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100076192

zbMATH Keywords

semigroupJulia set

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)

Related Items (11)

Uniform perfectness of the Berkovich Julia sets in non-archimedean dynamics ⋮ Koenigs functions, quasicircles and BMO ⋮ Julia sets of rational semigroups ⋮ Uniformly perfect Julia sets of meromorphic functions ⋮ On Julia limiting directions of meromorphic functions ⋮ Topological properties of certain iterated entire maps ⋮ ON THE UNIFORM PERFECTNESS OF THE BOUNDARY OF MULTIPLY CONNECTED WANDERING DOMAINS ⋮ The limit sets of Schottky quasiconformal groups are uniformly perfect ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Julia sets of uniformly quasiregular mappings are uniformly perfect ⋮ Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s

Cites Work

• Unnamed Item
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Uniformly perfect sets and the Poincaré metric
• Invariant sets under iteration of rational functions
• Complex analytic dynamics on the Riemann sphere
• Analytic Curves
• ON UNIFORMLY PERFECT SETS AND FUCHSIAN CROUPS
• The Poincaré Metric of Plane Domains

This page was built for publication: Julia sets of rational functions are uniformly perfect