报告题目：Minimal systems with finitely many ergodic measures

报告人：连政星 （厦门大学数学科学学院）

报告时间：2022年10月19日（星期三）上午9：00-10：00

报告地点：腾讯视频会议（线上）

会议 ID：796 124 672      会议密码：221019

校内联系人：江永乐 副教授  联系电话：84708351-8209

报告摘要：In this talk, it is proved that if a minimal system has the property that its sequence entropy is uniformly bounded for all sequences, then it has only finitely many ergodic measures and is an almost finite to one extension of its maximal equicontinuous factor. This result is obtained as an application of a general criteria which states that if a minimal system is an almost finite to one extension of its maximal equicontinuous factor and has no infinite independent sets of length k for some k≥2, then it has only finitely many ergodic measures. This is joint work with Wen Huang, Song Shao and Xiangdong Ye.

报告人简介：连政星，厦门大学数学科学学院助理教授。2016年毕业于中国科学技术大学，获理学博士学位。先后在加拿大阿尔伯塔大学，波兰科学院数学所从事博士后研究工作。研究方向包括拓扑动力系统，遍历理论，主要研究拓扑动力系统中的幂零系统，以及Sarnak猜测。已有文章发表在Adv. Math., JDE，ETDS等学术杂志。