Poiynomials with identical Julia sets

DOI10.1080/17476939208814512zbMath0751.30026OpenAlexW1969813246WikidataQ123155692 ScholiaQ123155692MaRDI QIDQ4007076

Alan F. Beardon

Publication date: 27 September 1992

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476939208814512

zbMATH Keywords

Julia setdegreenon-conjugate polynomials

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)

Related Items (12)

Symmetries of Julia sets for rational maps ⋮ Rigidity of Julia sets of families of biholomorphic mappings in higher dimensions ⋮ On rational functions sharing the measure of maximal entropy ⋮ The Schwarzian derivative and polynomial iteration ⋮ On amenable semigroups of rational functions ⋮ The dynamics of nearly abelian polynomial semigroups at infinity ⋮ A rigidity theorem for Hénon maps ⋮ When do two rational functions have the same Julia set? ⋮ Rational functions with identical measure of maximal entropy ⋮ Proof of a dynamical Bogomolov conjecture for lines under polynomial actions ⋮ On commuting derivatives ⋮ When do two rational functions have locally biholomorphic Julia sets?

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