Dynamics of polynomials with disconnected Julia sets

DOI10.3934/dcds.2003.9.801zbMath1047.37028OpenAlexW2003856180MaRDI QIDQ1395980

Nathaniel D. Emerson

Publication date: 2003

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2003.9.801

zbMATH Keywords

polynomialsJulia setCantor setcomplex dynamical systemscombinatorial conditiontree with dynamics

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (6)

Critical heights on the moduli space of polynomials ⋮ Return times of polynomials as meta-Fibonacci numbers ⋮ A NEW PROOF OF THE REALISATION OF CUBIC TABLEAUX ⋮ Polynomial basins of infinity ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Proof of the Branner-Hubbard conjecture on Cantor Julia sets

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