报告地点：行健楼学术活动室665

邀请人：陈二才教授

摘要：Metric mean dimension is a vital topological quantity to capture the complexity of infinite entropy systems. In this talk, some recent progress on the theory of metric mean dimension of amenable groups is presented. I first give a positive answer to Gutman-Spiewak's open question, and then show that  Lindenstrauss-Tsukamoto’s double variational principle suffices to take the ergodic measures. Finally, I shall discuss some results involving the amenable metric mean dimension of factor maps.

报告人简介： 杨芮毕业于南京师范大学，获博士学位，现为重庆大学科研博士后。其研究方向为拓扑动力系统与遍历论，目前主持一项博士后面上项目，研究成果发表于 Nonlinearity、Studia Math.、IEEE Trans. Inform. Theory 等国际期刊。