Landing property of stretching rays for real cubic polynomials

DOI10.1090/S1088-4173-04-00102-XzbMath1077.37034MaRDI QIDQ4827384

Shizuo Nakane, Yohei Komori

Publication date: 16 November 2004

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

zbMATH Keywords

parabolic implosionradial Julia set

Mathematics Subject Classification ID

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

Related Items (7)

Non-landing parameter rays of the multicorns ⋮ Critical heights on the moduli space of polynomials ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Monodromy on the central hyperbolic component of polynomials with just two distinct critical points ⋮ Branner-Hubbard-Lavaurs deformations for real cubic polynomials with a parabolic fixed point ⋮ Schwarz reflections and anti-holomorphic correspondences ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I

Cites Work

• The iteration of cubic polynomials. I: The global topology of parameter space
• The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets
• Generic hyperbolicity in the logistic family
• Complex dynamics
• The iteration of cubic polynomials. II: Patterns and parapatterns
• Dynamics of quadratic polynomials. I, II
• Hausdorff dimension and conformal dynamics. II: Geometrically finite rational maps
• On the dynamics of polynomial-like mappings
• Geography of the cubic connectedness locus: Intertwining surgery
• Julia sets in parameter spaces
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