The dual nest for degenerate Yoccoz puzzles

DOI10.1090/S1088-4173-09-00197-0zbMath1244.37032arXiv0904.1357OpenAlexW2045884421MaRDI QIDQ3559535

Magnus Aspenberg

Publication date: 6 May 2010

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1357

zbMATH Keywords

connectednessJulia setrational mapsYoccoz puzzleBranner-Hubbard tableau

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) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Cites Work

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• Mating non-renormalizable quadratic polynomials
• The boundary of bounded polynomial Fatou components
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Dynamics of quadratic polynomials. I, II
• Hyperbolic components of polynomials with a fixed critical point of maximal order
• A priori bounds for some infinitely renormalizable quadratics: II. Decorations
• A priori bounds for some infinitely renormalizable quadratics: III. Molecules
• Dynamics in One Complex Variable. (AM-160)

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