On the area rate of perturbed Siegel disks
Dynamical Systems
2023-11-28 v2
Abstract
In the famous work by Buff and Ch\'eritat constructing quadratic Julia sets with positive area, the control of the shape of perturbed Siegel disks is a key technique. To do it, Buff and Ch\'eritat added a restrictive condition on rotation numbers. In this paper, we show that this restrictive condition can be deleted. As a consequence, more quadratic Julia sets with positive area can be constructed.
Cite
@article{arxiv.2111.10802,
title = {On the area rate of perturbed Siegel disks},
author = {Jianyong Qiao and Hongyu Qu},
journal= {arXiv preprint arXiv:2111.10802},
year = {2023}
}