Structure of Julia sets of polynomial semigroups with bounded finite postcritical set

DOI10.1016/j.amc.2006.08.148zbMath1113.30029OpenAlexW2034152676WikidataQ121745497 ScholiaQ121745497MaRDI QIDQ884154

Rich Stankewitz, Hiroki Sumi

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.148

zbMATH Keywords

Julia setspolynomialscomplex dynamics

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (3)

Symbolic template iterations of complex quadratic maps ⋮ Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane ⋮ Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups

Cites Work

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• Completely invariant Julia sets of polynomial semigroups
• Completely invariant sets of normality for rational semigroups
• Skew product maps related to finitely generated rational semigroups
• Some counterexamples in dynamics of rational semigroups
• The Dynamics of Semigroups of Rational Functions I
• Semi-hyperbolic fibered rational maps and rational semigroups

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