报告题目：On the connected components of IFS fractals

报 告 人：邓起荣教授（福建师范大学）

报告时间：2022年11月23日  10:00-11:00

报告地点：腾讯会议（314597494）

报告摘要：

Let K be the attractor of a self- conformal IFS, μ be the corresponding invariant measure for some probability weights and A(K) be the union of all trivial connccted components of K. Assume that the IFS satisfies the bounded distortion property and the strong open set condition with an open set V whose closure V is a union of finitely many connected components. It is proven that the four statements dimy(K \ A(K)) < dimy(K), H'(V∩A(K)) > 0 (where s = dimp(K)), V∩A(K)≠0 and p(A(K))= I are equivalent. Some weaker conclusions are also given for atractors generated by bi-Lipschitz IFSs.

报告人简介：

邓起荣，福建师范大学教授，博士生导师。主要从事分形几何的研究。在Adv. Math, J. Funct. Anal, Studia Math., Nonlinearity等国际期刊发表学术论文40多篇。