INVARIANT MEASURES AND UNIFORM POSITIVE ENTROPY PROPERTY FOR INVERSE LIMITS

• 作 者: HeLianfa
• 机 构: Dept.ofMath.
• 出 处: 高校应用数学学报：英文版
• 发表日期: 1999年3期
• 关键词: 不变量 正熵 反转极限 稳定性 Continuous m ap inverse lim it invariant m easure entropy map un

In this paper, the interconnection of some ergodic properties between a continuous selfmap and its inverse limit is studied. It has been proved that (1) their invariant Borel probability measures are identical up to homeomorphism and (2) they preserve uni