The Convergence of Borel Probability Measures and Its Applications to Topological Dynamics

被引：0

作者：

Chen, Zhijing ^{[1
]}

Liu, Xin ^{[2
]}

机构：

[1] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Peoples R China

[2] Guangdong Univ Educ, Dept Math, Guangzhou 510303, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Convergence of probability measures; Quasi-regular points; Uniquely ergodic systems; Small-boundary property;

D O I：

10.1007/s40840-019-00790-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a topological characterization of the convergence of Borel probability measures on compact metric spaces and apply this result to topological dynamics.

引用

页码：2077 / 2086

页数：10

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