Dynamics of cubic Siegel polynomials

DOI10.1007/s002200050702zbMath0936.37019arXivmath/9805098OpenAlexW3103937913MaRDI QIDQ1817760

Saeed Zakeri

Publication date: 1 February 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805098

zbMATH Keywords

critical pointsSiegel diskcubic polynomialsBlaschke productconformal capacityMandelbrot setcritically markedrotation number of Bryuno type

Mathematics Subject Classification ID

Related Items (25)

Quasisymmetric orbit-flexibility of multicritical circle maps ⋮ Quadratic-like dynamics of cubic polynomials ⋮ Laminations from the Main Cubioid ⋮ Quadratic rational maps with a 2-cycle of Siegel disks ⋮ Renormalization of analytic multicritical circle maps with bounded type rotation numbers ⋮ On the dynamics of a family of entire functions ⋮ Slices of the parameter space of cubic polynomials ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ Small cycles property of some Cremer rational maps and polynomials ⋮ Renormalization of bicritical circle maps ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ All bounded type Siegel disks of rational maps are quasi-disks ⋮ Unnamed Item ⋮ The parameter planes of \(\lambda z^m \exp(z)\) for \(m \geq 2\) ⋮ An entire transcendental family with a persistent Siegel disc ⋮ On the dynamics of a family of generated renormalization transformations ⋮ Unnamed Item ⋮ Bounded-type Siegel disks of a one-dimensional family of entire functions ⋮ Complementary components to the cubic principal hyperbolic domain ⋮ Conformal fitness and uniformization of holomorphically moving disks ⋮ Bounded type Siegel disks of a family of sine families ⋮ Location of Siegel capture polynomials in parameter spaces ⋮ Dynamics of multicritical circle maps ⋮ Some transcendental entire functions with irrationally indifferent fixed points ⋮ Mating Siegel quadratic polynomials

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