报 告 人：魏润菊 博士
报告题目：Relative uniformly positive entropy of induced amenable group actions
报告时间：2023年6月3日（周六）下午16：20-17：00
报告地点：泉山9#1508
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
魏润菊，中国科学技术大学数学科学学院博士，研究方向为拓扑动力系统与遍历理论。导师为黄文教授。在Ergodic Theory and Dynamical Systems,Acta Mathematica Sinica, English Series和Discrete and Continuous Dynamical Systems等著名SCI杂志发表多篇文章。
报告摘要：
Let G be a countably infinite discrete amenable group. It should be noted that a G-system (X,G) naturally induces a G-system (M(X),G), where M(X) denotes the space of Borel probability measures on the compact metric space X endowed with the weak*-topology. A factor mapπ: (X,G)→(Y,G) between two G-systems induces a factor map :(M(X),G)→(M(Y),G) . It should be noted that π ̃ is open if and only if πis open. When Y is fully supported, it is shown that π has relative uniformly positive entropy if and only if π has relative uniformly positive entropy.