摘要
本文证明,存在紧致系统,其几乎周期点集闭包不等于其测度中心.藉此,我们否定地回答了两个未解决的问题.
In this paper, we prove that there is a compact system whose closure of the set ofalmost periodic points is contained genuinely in whose measure centre. Thereby,We concludethat a weakly almost periodic point not only could be not an almost periodic point but alsonot a limit point of almost periodic points and what the set of almost periodic points coincideswith the set of periodic points is only a necessary but not sufficient condition for that a compactsystem has no non-atomic ergodic measure.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1995年第4期512-517,共6页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金和国家基础性研究重大项目
关键词
紧致系统
几乎周期点
遍历测度
微分动力系统
compact system,almost periodic point, weakly almost periodic point,measurecentre,ergodic measure