Infinitely Renormalizable Quadratic Polynomials

DOI10.1090/S0002-9947-00-02514-9zbMath0947.37029OpenAlexW1541593361MaRDI QIDQ4505913

Yunping Jiang

Publication date: 3 October 2000

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02514-9

zbMATH Keywords

Julia setlocal connectivitythree-dimensional puzzlecomplex boundsinfinitely renormalizable quadratic polynomialtwo-dimensional puzzleunbranched

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Universality and renormalization of dynamical systems (37E20)

Related Items (10)

Dynamics of quadratic polynomials: complex bounds for real maps ⋮ On the Lebesgue measure of the Feigenbaum Julia set ⋮ On the lambda function and a quantification of Torhorst theorem ⋮ Local connectivity of the Mandelbrot set at some satellite parameters of bounded type ⋮ Combinatorial rigidity for some infinitely renormalizable unicritical polynomials ⋮ CONTINUOUS EXTENSIONS ARE NOT HÖLDER ⋮ Hausdorff dimension and conformal measures of Feigenbaum Julia sets ⋮ Lebesgue measure of Feigenbaum Julia sets ⋮ Bounded critical Fatou components are Jordan domains for polynomials ⋮ Julia Sets and Complex Singularities of Free Energies

Cites Work

• Complex dynamics
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Quantitative universality for a class of nonlinear transformations
• On the dynamics of polynomial-like mappings
• Frontiers in complex dynamics
• Renormalization and 3-Manifolds Which Fiber over the Circle
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