Non-accessible critical points of Cremer polynomials

DOI10.1017/S0143385700000754zbMath0966.37015arXivmath/9502235MaRDI QIDQ4520564

Jan Kiwi

Publication date: 13 December 2000

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

Full work available at URL: https://arxiv.org/abs/math/9502235

zbMATH Keywords

Julia setexternal raysCremer fixed point

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (15)

Herman's condition and Siegel disks of bi-critical polynomials ⋮ Slices of the parameter space of cubic polynomials ⋮ Locally connected models for Julia sets ⋮ A bound on the number of rationally invisible repelling orbits ⋮ Small cycles property of some Cremer rational maps and polynomials ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ The Julia sets of basic uniCremer polynomials of arbitrary degree ⋮ Escaping endpoints explode ⋮ Siegel disks with smooth boundaries ⋮ The solar Julia sets of basic quadratic Cremer polynomials ⋮ Linearizability of saturated polynomials ⋮ Real laminations and the topological dynamics of complex polynomials ⋮ Puzzles and the Fatou–Shishikura injection for rational Newton maps ⋮ Building blocks for quadratic Julia sets ⋮ Geography of the cubic connectedness locus: Intertwining surgery

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