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arXiv · 2111.10802

On the area rate of perturbed Siegel disks

Jianyong Qiao·Hongyu Qu
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Abstract

In the famous work by Buff and Chéritat 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 Chéritat 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.

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Jianyong Qiao, Hongyu Qu. 2023-11-25. On the area rate of perturbed Siegel disks. https://arxiv.org/abs/2111.10802

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