Newton maps as matings of cubic polynomials

DOI10.1112/plms/pdw021zbMath1357.37069arXiv1408.3971OpenAlexW3104626214MaRDI QIDQ2827963

Pascale Roesch, Magnus Aspenberg

Publication date: 24 October 2016

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

Full work available at URL: https://arxiv.org/abs/1408.3971

zbMATH Keywords

matingNewton mapfilled Julia set

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) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (6)

Dynamics of Newton maps ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ Rigidity of Newton dynamics ⋮ Rigidity of non-renormalizable Newton maps ⋮ On the core entropy of Newton maps ⋮ Puzzles and the Fatou–Shishikura injection for rational Newton maps

Cites Work

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• A Family of Cubic Rational Maps and Matings of Cubic Polynomials
• Mating Siegel quadratic polynomials
• Pasting Together Julia Sets: A Worked Out Example of Mating
• Fixed points of polynomial maps. Part II. Fixed point portraits

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