Any counterexample to Makienko’s conjecture is an indecomposable continuum

DOI10.1017/S014338570800059XzbMath1173.37047arXiv0805.3323OpenAlexW2004546060WikidataQ123264408 ScholiaQ123264408MaRDI QIDQ5322028

John C. Mayer, James T. jun. Rogers, Jonathan Meddaugh, Clinton P. Curry

Publication date: 17 July 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.3323

zbMATH Keywords

Julia setrational functionMakienko's conjecture

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50)

Related Items (5)

The maximal entropy measure of Fatou boundaries ⋮ Julia sets as buried Julia components ⋮ Periodic points on the boundaries of rotation domains of some rational functions ⋮ Buried points in Julia sets ⋮ Irreducible Julia sets of rational functions

Cites Work

• Diophantine conditions imply critical points on the boundaries of Siegel disks of polynomials
• Topological complexity of Julia sets
• Indecomposable continua and the Julia sets of polynomials. II
• Julia sets of subhyperbolic rational functions
• On the residual Julia sets of rational functions
• The escape trichotomy for singularly perturbed rational maps
• Geometry and Dynamics of Quadratic Rational Maps
• Indecomposable Continua and the Julia Sets of Polynomials
• Residual Julia Sets of Meromorphic Functions

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