报告人：罗军研究员（重庆大学）
报告题目：On the Lipschitz equivalence of self-affine sets
主持人：黄学平博士
报告时间：2018年10月26日 15:30-16:30
报告地点：尚贤楼706
报告摘要：Recently Lipschitz equivalence of self-similar sets on $\mathbb {R}^d$ has been studied extensively in the literature. However for self-affine sets the problem is more awkward and there are very few results. In this paper, we introduce a $w$-Lipschitz equivalence by replacing the Euclidean norm with a pseudo-norm $w$. Under the open set condition, we prove that any two totally disconnected integral self-affine sets with a common matrix are $w$-Lipschitz equivalent if and only if their digit sets have equal cardinality. The main methods used are the technique of pseudo-norm and Gromov hyperbolic graph theory on iterated function systems.
报告人简介：罗军，重庆大学特聘研究员，重庆大学“百人计划”学者。主要从事分形几何的研究工作，在Adv. Math., J. Funct. Anal.等一流杂志上发表文章10余篇。
数学与统计学院
2018年10月23日