Fixed points of polynomial maps. Part II. Fixed point portraits
From MaRDI portal
Publication:5285850
DOI10.24033/asens.1667zbMath0771.30028OpenAlexW105439451MaRDI QIDQ5285850
Lisa R. Goldberg, John W. Milnor
Publication date: 29 June 1993
Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_1993_4_26_1_51_0
Related Items (59)
Triviality of fibers for Misiurewicz parameters in the exponential family ⋮ Herman's condition and Siegel disks of bi-critical polynomials ⋮ Non-landing parameter rays of the multicorns ⋮ Combinatorial models for spaces of cubic polynomials ⋮ On the complement of the Mandelbrot set ⋮ Laminations from the Main Cubioid ⋮ Accessible boundary points in the shift locus of a family of meromorphic functions with two finite asymptotic values ⋮ Cutpoints of invariant subcontinua of polynomial Julia sets ⋮ Rotation numbers and symbolic dynamics ⋮ External rays to periodic points ⋮ The existence and structure of rotational systems in the circle ⋮ Dynamics of quadratic polynomials. I, II ⋮ Parapuzzle of the Multibrot set and typical dynamics of unimodal maps ⋮ Singular values and bounded Siegel disks ⋮ Slices of the parameter space of cubic polynomials ⋮ Locally connected models for Julia sets ⋮ A bound on the number of rationally invisible repelling orbits ⋮ Irreducibility of periodic curves in cubic polynomial moduli space ⋮ Hyperbolic components of polynomials with a fixed critical point of maximal order ⋮ On the correspondence of external angles under renormalization ⋮ Perturbations of graphs for Newton maps I: bounded hyperbolic components ⋮ On the core entropy of Newton maps ⋮ Upper bounds for the moduli of polynomial-like maps ⋮ Small cycles property of some Cremer rational maps and polynomials ⋮ An extended Fatou-Shishikura inequality and wandering branch continua for polynomials ⋮ Laminational Models for Some Spaces of Polynomials of Any Degree ⋮ Criterion for rays landing together ⋮ A landing theorem for entire functions with bounded post-singular sets ⋮ Unnamed Item ⋮ On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials ⋮ Disconnected Julia set and rotation sets ⋮ Crossed renormalization of quadratic polynomials ⋮ Newton maps of complex exponential functions and parabolic surgery ⋮ The Julia sets of basic uniCremer polynomials of arbitrary degree ⋮ Finitely Suslinian models for planar compacta with applications to Julia sets ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ A separation theorem for entire transcendental maps ⋮ Rotational subsets of the circle under \(z^d\) ⋮ Cubic critical portraits and polynomials with wandering gaps ⋮ Wandering orbit portraits ⋮ Unnamed Item ⋮ Combinatorics and topology of straightening maps. I: Compactness and bijectivity ⋮ Homeomorphisms between limbs of the Mandelbrot set ⋮ Complementary components to the cubic principal hyperbolic domain ⋮ On combinatorial types of periodic orbits of the map \(x \mapsto kx \pmod{\mathbb{Z}} \) ⋮ Linearizability of saturated polynomials ⋮ Ribbon ℝ-trees and holomorphic dynamics on the unit disk ⋮ Newton maps as matings of cubic polynomials ⋮ Location of Siegel capture polynomials in parameter spaces ⋮ Real laminations and the topological dynamics of complex polynomials ⋮ Bounded critical Fatou components are Jordan domains for polynomials ⋮ Unbounded components in parameter space of rational maps ⋮ Orbit portraits of unicritical antiholomorphic polynomials ⋮ Combinatorics of criniferous entire maps with escaping critical values ⋮ Puzzles and the Fatou–Shishikura injection for rational Newton maps ⋮ Infinitely renormalizable quadratic polynomials, with non-locally connected Julia set ⋮ Building blocks for quadratic Julia sets ⋮ Periodic points and smooth rays ⋮ Geography of the cubic connectedness locus: Intertwining surgery
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symbolic dynamics of order-preserving orbits
- The iteration of cubic polynomials. I: The global topology of parameter space
- A proof of Thurston's topological characterization of rational functions
- Complex analytic dynamics on the Riemann sphere
- Critical portraits for postcritically finite polynomials
- Lectures on Nielsen fixed point theory
- On the dynamics of polynomial-like mappings
- The dynamics of rational transforms: the topological picture
- Bifurcations of dynamic rays in complex polynomials of degree two
- The Mandelbrot Set and σ-Automorphisms of Quotients of the Shift
- Fixed points of polynomial maps. I. Rotation subsets of the circles
- The Leray-Schauder index and the fixed point theory for arbitrary ANRs
This page was built for publication: Fixed points of polynomial maps. Part II. Fixed point portraits
