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全球赌船十大网站青年学术论坛第191期——Lipschitz equivalence of self-affine fractals

发布者: [发表时间]:2019-01-15 [来源]: [浏览次数]:

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。