On McMullen-like mappings

DOI10.4171/JFG/21zbMath1345.37045arXiv1403.2420MaRDI QIDQ887520

Sébastien Godillon, Antonio Garijo

Publication date: 26 October 2015

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2420

zbMATH Keywords

Julia setscomplex dynamicsrational mapsMcMullen family

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (3)

Singular perturbations with multiple poles of the simple polynomials ⋮ Singular perturbations of the unicritical polynomials with two parameters ⋮ On the dynamics of a family of singularly perturbed rational maps

Cites Work

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• Complex dynamics
• A characterization of hyperbolic rational maps
• Singular perturbations of complex polynomials
• The escape trichotomy for singularly perturbed rational maps
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• Quasiconformal Surgery in Holomorphic Dynamics

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