报告人：罗军研究员

邀请人：杨娟

报告时间：2019年1月16日星期三 10:00-11:00

地点：主楼804

摘要：

Recently Lipschitz equivalence of self-similar sets onR^d has been studied extensively in the literature. However for self-affinesets the problem is more awkward and there are very few results. In this talk,we will introduce a w-Lipschitz equivalence by replacing the Euclidean normwith a pseudo-norm w. Under the open set condition, we prove that any twototally disconnected integral self-affine sets with a common matrix are w-Lipschitzequivalent if and only if their digit sets have equal cardinality. The mainmethods used are the technique of pseudo-norm and Gromov hyperbolic graphtheory on iterated function systems.

报告人介绍：

罗军，重庆大学研究员，博士生导师；2012年博士毕业于香港中文大学数学系；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。