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

页码：761 / 769

页数：9

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