A family of rational maps with buried Julia components

DOI10.1017/etds.2014.22zbMath1344.37056arXiv1304.3881OpenAlexW3098356262WikidataQ122998559 ScholiaQ122998559MaRDI QIDQ2942571

Sébastien Godillon

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1304.3881

zbMATH Keywords

Julia setrational maps

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)

Related Items (6)

Renormalizations and wandering Jordan curves of rational maps ⋮ PARAMETER ESTIMATION OF THE CLASSICAL FRACTAL MAP BASED ON A GIVEN JULIA SET’S SHAPE ⋮ On hyperbolic rational maps with finitely connected Fatou sets ⋮ Julia sets as buried Julia components ⋮ On the cycles of components of disconnected Julia sets ⋮ Buried Julia components and Julia sets

Cites Work

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• A proof of Thurston's topological characterization of rational functions
• A characterization of hyperbolic rational maps
• On Rational Maps with Two Critical Points
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• Complex Dynamics and Renormalization (AM-135)
• Singular perturbations in the quadratic family with multiple poles
• A GENERALIZED VERSION OF THE MCMULLEN DOMAIN
• Quasiconformal Surgery in Holomorphic Dynamics
• Dynamics in One Complex Variable. (AM-160)
• On realizability of branched coverings of the sphere

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