Cubic polynomials with a parabolic point

DOI10.1017/S0143385709000820zbMath1211.37056arXiv0712.3372MaRDI QIDQ3068604

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Publication date: 17 January 2011

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

Full work available at URL: https://arxiv.org/abs/0712.3372

zbMATH Keywords

local connectivityJordan curvecubic polynomialparabolic point

Mathematics Subject Classification ID

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

Related Items (8)

On the family of cubic parabolic polynomials ⋮ Dynamics of Schwarz Reflections: The Mating Phenomena ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ On the support of the bifurcation measure of cubic polynomials ⋮ Real cubic polynomials with a fixed point of multiplicity two ⋮ The boundary of bounded polynomial Fatou components ⋮ Unnamed Item ⋮ Bounded critical Fatou components are Jordan domains for polynomials

Cites Work

• The boundary of bounded polynomial Fatou components
• Proof of the Branner-Hubbard conjecture on Cantor Julia sets
• Topological invariants for germs of analytic and area-preserving mappings, and their application to analytic differential equations in \(\mathbb{CP}^2\).
• Real laminations and the topological dynamics of complex polynomials
• On the Julia set of a typical quadratic polynomial with a Siegel disk
• Rigidity for real polynomials
• Complex analytic dynamics on the Riemann sphere
• Dynamics in One Complex Variable. (AM-160)
• Unnamed Item
• Unnamed Item

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