报告地点：行健楼学术活动室665
邀请人：陈二才教授
报告摘要：Several years ago, Yi Shi asked if Arnold's cat map admits a sequence of periodic orbits O_n uniformly distributed in the following sense:\liminf_{n\to\infty}\delta(O_n)^2 \pi(O_n)>0? where \delta(O_n) is the minimal distance of two points in O_n and \pi(O_n) is the period of O_n. In this talk, I will give an affirmative answer to Shi's question. In fact, I will show that such uniformly distributed periodic orbits exist for any ergodic endomorphisms on tori. This is a joint work with Daohua Yu.
报告人简介： 甘少波，北京大学教授，国家级人才项目获得者。主要研究领域为微分动力系统，论文发表在Inventiones Mathematicae，Ergodic Theory andDynamical Systems，Journal of Differential Equation，Nonlinearity，SIAM Journal on MathematicalAnalysis等一流期刊上。
