Structure of Julia sets of polynomial semigroups with bounded finite postcritical set
type: Item
instance of: scholarly article
title: Structure of Julia sets of polynomial semigroups with bounded finite postcritical set
zbMATH Open document ID: 1113.30029
author: Rich Stankewitz
author: Hiroki Sumi
published in: Applied Mathematics and Computation
publication date: 2007-06-13T00:00:00Z
Mathematics Subject Classification ID: 30D05
zbMATH DE Number: 5163956
zbMATH Keywords: complex dynamics
zbMATH Keywords: Julia sets
zbMATH Keywords: polynomials
MaRDI profile type: Publication
full work available at URL: j.amc.2006.08.148
OpenAlex ID: W2034152676
Wikidata QID: Q121745497
cites work: Q4388655
cites work: The Dynamics of Semigroups of Rational Functions I
cites work: Q4004123
cites work: Completely invariant Julia sets of polynomial semigroups
cites work: Completely invariant sets of normality for rational semigroups
cites work: Some counterexamples in dynamics of rational semigroups
cites work: On Hausdorff dimension of Julia sets of hyperbolic rational semigroups
cites work: Skew product maps related to finitely generated rational semigroups
cites work: Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products
cites work: Dimensions of Julia sets of expanding rational semigroups
cites work: Dynamics of postcritically bounded polynomial semigroups. II: Fiberwise dynamics and the Julia sets
cites work: Semi-hyperbolic fibered rational maps and rational semigroups
cites work: Random dynamics of polynomials and Devil's-staircase-like functions in the complex plane
cites work: On the connectivity of the Julia set of a finitely generated rational semigroup
cites work: The Julia sets of the random iteration of rational functions
DOI: 10.1016/J.AMC.2006.08.148
Recommended article: Dynamical properties and structure of Julia sets of postcritically bounded polynomial semigroups
Recommended article: Dynamics of postcritically bounded polynomial semigroups. I: Connected components of the Julia sets
Recommended article: Dynamics of postcritically bounded polynomial semigroups. II: Fiberwise dynamics and the Julia sets
Recommended article: Dynamics of postcritically bounded polynomial semigroups III: classification of semi-hyperbolic semigroups and random Julia sets which are Jordan curves but not quasicircles
Recommended article: Structure of Julia sets for post-critically finite endomorphisms on \(\mathbb{P}^2\)
Recommended article: Completely invariant Julia sets of polynomial semigroups
Recommended article: Q3589259
Recommended article: Julia sets of rational semigroups
Recommended article: The topology of Julia sets for geometrically finite polynomials
Recommended article: Rigorous bounds for polynomial Julia sets
description: scientific article; zbMATH DE number 5163956