Explicit Rational Functions Whose Julia Sets are Jordan Arcs

DOI10.1112/S0024610704005204zbMath1054.37023WikidataQ123189712 ScholiaQ123189712MaRDI QIDQ4819156

Franz Peherstorfer, Clemens Inninger

Publication date: 24 September 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Julia setJordan arcrationally indifferent fixed point

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) Iteration theory, iterative and composite equations (39B12) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Real rational functions (26C15)

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