【摘要】 回复属性是动力系统研究的核心内容之一.本综述将讨论拓扑动力系统回复属性研究的一些新进展,主要侧重于与多重回复性、Bohr问题、乘积回复性和Furstenberg不交性问题等相关的一些主题.主要目的是简要介绍最近相关问题的研究进展,给出与之相关的参考文献,并且陈述一些未解决的问题.更多还原

【Abstract】 The investigation of recurrence is in the center of the study of dynamical systems. In this survey we will discuss progress on some recurrence problems in dynamics, focusing on several topics related to multiple recurrence, Bohr problem, product recurrence, and Furstenberg disjointness problem etc. Our main aim is to introduce briefly recent progress on some recurrence problems in dynamics, give related references and state some open problems.更多还原