When all points are generic for ergodic measures
When all points are generic for ergodic measures
复制标题
当所有点对于遍历测度都是通用的时
DOI：
--
复制
发表时间：
2021
期刊：
影响因子：
--
通讯作者：
B. Weiss
中科院分区：
文献类型：
--
作者：
T. Downarowicz;B. Weiss
我们建立了拓扑动力系统的几个性质之间的联系，例如：-每个点对于遍历测度是一般的，-发送点到它们所生成的测度的映射是连续的，-系统分裂为唯一（或者严格）遍历子系统，-发送遍历测度到它们的拓扑支点的映射是连续的，-每个连续函数的Cesaro均值一致收敛。
We establish connections between several properties of topological dynamical systems, such as: - every point is generic for an ergodic measure, - the map sending points to the measures they generate is continuous, - the system splits into uniquely (alternatively, strictly) ergodic subsystems, - the map sending ergodic measures to their topological supports is continuous, - the Cesaro means of every continuous function converge uniformly.