报 告 人：曹阳 博士
报告题目：Topological mild mixing of all orders along polynomials
报告时间：2023年6月3日（周六）下午15：40-16：20
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：
曹阳, 中国科学技术大学数学科学学院博士. 主要从事拓扑动力系统及遍历论方面的研究, 具体包括动力系统多重回复性及复杂性等相关问题的研究, 目前已在Ergodic Theory Dynam. Systems, Discrete Contin. Dyn. Syst., Topol. Appl. 等期刊发表学术论文。
报告摘要：
In this talk, we study recurrent properties of mildly mixing minimal systems along integral polynomials. We first deal with mixing for IP ststems, and get results for mildly mixing systems as corollaries. We show that a mildly mixing minimal system is mildly mixing of all orders along integral polynomials. In fact, we use PET-induction (for polynomial exhaustion technique) to give more general corresponding results in dynamical systems under the action of general abelian groups. This work is joint with Professor S. Shao.