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

• 作者: Yong JI Yun Ping WANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2022,（4）
• 页码范围: 761-769
• 页数: 9页
• 语种: 英文

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.