Irreducible Julia sets of rational functions
Dynamical Systems
2010-07-01 v1
Abstract
We prove that a polynomial Julia set which is a finitely irreducible continuum is either an arc or an indecomposable continuum. For the more general case of rational functions, we give a topological model for the dynamics when the Julia set is an irreducible continuum and all indecomposable subcontinua have empty interior.
Keywords
Cite
@article{arxiv.1006.5771,
title = {Irreducible Julia sets of rational functions},
author = {Clinton P. Curry},
journal= {arXiv preprint arXiv:1006.5771},
year = {2010}
}
Comments
8 pages, 2 figures