A NEW SIMPLE CLASS OF RATIONAL FUNCTIONS WHOSE JULIA SET IS THE WHOLE RIEMANN SPHERE

DOI10.1112/S0024610701003027zbMath1060.30034OpenAlexW2083364117WikidataQ121057470 ScholiaQ121057470MaRDI QIDQ3151111

Clemens Inninger, Franz Peherstorfer

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024610701003027

zbMATH Keywords

Schwarzian derivativecritical pointJulia setrational function

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)

Related Items (3)

Chaotic tracial dynamics ⋮ Minimal Ahlfors regular conformal dimension of coarse expanding conformal dynamics on the sphere ⋮ Connectedness of Julia sets of rational functions

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