Abstract: In this talk, we shall introduce an effective criterion for the Lipschitz equivalence of two-branch Cantor sets and three-branch Cantor sets by studying the irreducibility of polynomials. We also find that any two Cantor sets are Lipschitz equivalent if and only if their contraction vectors are equivalent provided one of the contraction vectors is homogeneous.

报告人：罗军，重庆大学百人计划研究员

简介：罗军是重庆大学数学与统计学院研究员，博士生导师；2012年博士毕业于香港中文大学；研究方向为分形几何及其相关问题。目前已在Advances in Math., Journal of Functional Analysis, Journal of London. Math. Soc.等国际杂志发表论文17篇。

报告时间：2018年12月13日星期四15:00-17:00.

报告地点：数科院38号楼报告厅

主办单位：扬州大学数学科学学院

欢迎广大师生参加！