报告题目:Generalized polynomial recurrence of weakly mixing minimal systems
报 告 人:张瑞丰 副教授(合肥工业大学)
报告时间:2020年12月20日(星期日)上午 09:50-10:40
报告地点:腾讯会议ID:774 546 739,密码:654321
邀 请 人:匡锐 副教授
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数学学院
2020年12月14日
报告摘要:
In this talk, we study the generalized polynomial recurrence of weakly mixing minimal system. Let (X, T) be a weakly mixing minimal system and p_1, …, p_d be integer-valued generalized polynomials which are not finite-valued and are not equivalent to each other. We will show that there is a residual subset X_0 of X such that for all x in X_0, {(T^{p_1(n)}x, …, T^{p_d(n)}x): n=…, -2, -1, 0, 1, 2, …} is dense in X^d. This is a joint work with Jianjie Zhao.
报告人简介:
张瑞丰,合肥工业大学副教授,长期从事拓扑动力系统与遍历理论的研究。主持和参与多项国家自然科学基金,近年来在JDDE,ETDS,Science China Mathematics等期刊上发表多篇论文。