Irreducible Julia sets of rational functions

DOI10.1080/10236190903244857zbMath1205.30023arXiv1006.5771OpenAlexW2059387254WikidataQ122943534 ScholiaQ122943534MaRDI QIDQ3570123

Clinton P. Curry

Publication date: 24 June 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5771

zbMATH Keywords

Julia setrational functionFatou setRiemann sphere

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

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Cites Work

• Locally connected models for Julia sets
• Indecomposable continua and the Julia sets of polynomials. II
• Any counterexample to Makienko’s conjecture is an indecomposable continuum
• Dynamics in One Complex Variable. (AM-160)
• Semi-Locally Connected Sets
• Aposyndetic Continua and Certain Boundary Problems
• Concerning aposyndetic and non-aposyndetic continua

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