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曲宏宇 博士:On the area rate of perturbed Siegel disks

本站小编 Free考研考试/2021-12-26



Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker: 曲宏宇 博士,清华大学丘成桐数学科学中心
Inviter:
Title:
On the area rate of perturbed Siegel disks
Time & Venue:
2021.12.02 16:00-17:00 N902室
Abstract:
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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