Topological r-entropy and Measure Theoretic r-entropy of Flows

被引：0
作者：
Yong JI [1 ]
Yun Ping WANG [2 ,3 ]
机构：
[1] Department of Mathematics, Ningbo University
[2] School of Science, Ningbo University of Technology
[3] School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University
来源：
ActaMathematicaSinica,EnglishSeries | 2022年 / 04期
关键词：
D O I：
暂无
中图分类号：
O174.12 [测度论]; O177.99 [其他];
学科分类号：
070104 ;
摘要：
The topological r-entropy and measure theoretic r-entropy of a flow are studied. For a flow(X, φ), it is shown that topological(measure theoretic) r-entropy is equal to the topological(measure theoretic) entropy of the time one map φ1 as r decreases to zero. The Brin–Katok’s entropy formula for r-entropy is also established.
引用
收藏
页码：761 / 769
页数：9
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