摘要
任给一个遍历测度,我们考虑在该测度下Brin-Katok定理和Birkhoff遍历定理成立的点所组成的集合.我们证明了测度理论压等于这个集合上的拓扑压.
For any ergodic measure,we considered the set of points which satisfy the Brin-Katok theorem and Birkhoff ergodic theorem with respect to this measure.We prove that the measure-theoretic pressure is equal to the topological pressure for this set.
出处
《苏州大学学报(自然科学版)》
CAS
2007年第2期6-10,共5页
Journal of Soochow University(Natural Science Edition)
基金
Partially supported by NSFC(10571130),NCET,and SRFDP of China
关键词
非紧集
测度压
变分原理
non-compact set
measure-theoretic pressure
variational principle