Julia sets of rational semigroups

DOI10.1007/PL00004533zbMath0849.30018OpenAlexW4240446706MaRDI QIDQ1906888

Aimo Hinkkanen, Gaven J. Martin

Publication date: 15 February 1996

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174880

zbMATH Keywords

Julia 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 (12)

Backward iteration algorithms for Julia sets of Möbius semigroups ⋮ Uniform perfectness of the attractor of bi-Lipschitz IFS ⋮ Distribution of typical orbits for random dynamics generated by finitely many rational maps ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Holomorphic correspondences related to finitely generated rational semigroups ⋮ Random backward iteration algorithm for Julia sets of rational semigroups ⋮ Negativity of Lyapunov exponents and convergence of generic random polynomial dynamical systems and random relaxed Newton's methods ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ On Hausdorff dimension of Julia sets of hyperbolic rational semigroups ⋮ Uniformly perfect sets, rational semigroups, Kleinian groups and IFS’s ⋮ Dynamics of polynomial semigroups: measures, potentials, and external fields ⋮ Nondiscrete parabolic characters of the free group F2: supergroup density and Nielsen classes in the complement of the Riley slice

Cites Work

• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• Uniformly perfect sets and the Poincaré metric
• Normal families
• ON UNIFORMLY PERFECT SETS AND FUCHSIAN CROUPS
• Iterates of meromorphic functions III: Preperiodic domains
• Two examples of Julia sets
• Julia Sets are Uniformly Perfect
• The Poincaré Metric of Plane Domains
• Julia sets of rational functions are uniformly perfect
• The Dynamics of Semigroups of Rational Functions I

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