研讨班报告

动力系统研究中心:On the area rate of perturbed Siegel disks

发布时间:2021-12-01
 

中科院数学与系统科学研究院

数学研究所

动力系统研究中心

 

报告人曲宏宇 博士清华大学丘成桐数学科学中心

 On the area rate of perturbed Siegel disks

  2021.12.02(星期四),16:00-17:00

 点:数学院南楼N902

  要:In the famous work by Buff and Cheritat 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 Cheritat added a restrictive condition on rotation numbers. Recently, Professor Jianyong Qiao and I showed that this restrictive condition can be deleted. As a byproduct, we can get more quadratic Julia sets with positive area than the original result by Buff and Cheritat. In this talk, I will give a report on this result.


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