测度中心为单点集的强拓扑混合系统

A Topologically Mixing System with Its Measure Center being a Singleton

本文用构造性的方法证明了存在强拓扑混合的紧致系统,其测度中心是单点集.从而说明了拓扑混合的系统在拓扑的观点下是复杂的,但在遍历的意义下却可能是简单的.

In this paper, we construct a topologically mixing system whose measure center is a singleton, thus showing that a mixing system is complicated from the viewpoint of topology, but it can be very simple in the sense of ergodicity.