Work

On the area rate of perturbed Siegel disks

Year: 2024

Type: article

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 is not necessary. As a consequence, more quadratic Julia sets with positive area can be constructed.

Source: Nonlinearity

DOI: 10.1088/1361-6544/ad8c0e

Authors: Jianyong Qiao, Hongyu Qu

Institutions: Beijing University of Posts and Telecommunications, Tsinghua University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: 复动力系统及复分析中若干问题的研究