A problem of Julia sets

DOI10.5186/aasfm.1987.1205zbMath0606.30030OpenAlexW2977507450WikidataQ120769085 ScholiaQ120769085MaRDI QIDQ3744458

Alexandre Eremenko, I. N. Baker

Publication date: 1987

Published in: Annales Academiae Scientiarum Fennicae Series A I Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.1987.1205

zbMATH Keywords

Julia setcuspspermutable functionspreperiodic points

Mathematics Subject Classification ID

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

Related Items (24)

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 polynomial topological complexity of Fatou-Julia sets ⋮ Symmetries on the Julia set ⋮ Greatest common divisors of iterates of polynomials ⋮ Symmetries of the Julia sets of Newton's method for multiple root ⋮ A rigidity theorem for Hénon maps ⋮ Permutable entire functions and multiply connected wandering domains ⋮ Dynamics on ℙ¹: preperiodic points and pairwise stability ⋮ When do two rational functions have the same Julia set? ⋮ Rational functions with identical measure of maximal entropy ⋮ Rigidity and unlikely intersections for formal groups ⋮ Proof of a dynamical Bogomolov conjecture for lines under polynomial actions ⋮ Symmetries of the Julia sets of König's methods for polynomials ⋮ Remark on functions having the same Julia set ⋮ Rational functions with linear relations ⋮ Further remarks on rigidity of Hénon maps ⋮ Dynamics of composite mappings ⋮ Common preperiodic points for quadratic polynomials ⋮ On commuting derivatives ⋮ When do two rational functions have locally biholomorphic Julia sets?

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