Bounded critical Fatou components are Jordan domains, for polynomials
Dynamical Systems
2022-01-06 v2
Abstract
We prove that, for polynomials, the boundary of any bounded Fatou component is a Jordan curve, except maybe for Siegel disks.
Keywords
Cite
@article{arxiv.0909.4598,
title = {Bounded critical Fatou components are Jordan domains, for polynomials},
author = {P. Roesch and Yongcheng Yin},
journal= {arXiv preprint arXiv:0909.4598},
year = {2022}
}