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)
题 目:On the area rate of perturbed Siegel disks
时 间:2021.12.02(星期四),16:00-17:00
地 点:数学院南楼N902室
摘 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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