Homeomorphisms between limbs of the Mandelbrot set

DOI10.1090/S0002-9939-2011-11047-5zbMath1296.37039arXiv1008.5355MaRDI QIDQ5891557

Dierk Schleicher, Dzmitry Dudko

Publication date: 29 May 2012

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

Full work available at URL: https://arxiv.org/abs/1008.5355

zbMATH Keywords

Mandelbrot sethyperbolic componentlimbs

Mathematics Subject Classification ID

Related Items (5)

Internal addresses of the Mandelbrot set and Galois groups of polynomials ⋮ Fractal property of generalized M-set with rational number exponent ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Fractal sets attached to homogeneous quadratic maps in two variables ⋮ Crossed renormalization of quadratic polynomials

Cites Work

• Parapuzzle of the Multibrot set and typical dynamics of unimodal maps
• Dynamics of quadratic polynomials. I, II
• Extensions of homeomorphisms between limbs of the Mandelbrot set
• Admissibility of kneading sequences and structure of Hubbard trees for quadratic polynomials
• A priori bounds for some infinitely renormalizable quadratics: II. Decorations
• A priori bounds for some infinitely renormalizable quadratics: III. Molecules
• On the dynamics of polynomial-like mappings
• Frontiers in complex dynamics
• Carrots for dessert
• Homeomorphisms between limbs of the Mandelbrot set
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