摘要
证明紧度量空间的极小映射以及拓扑熵为零的区间映射不存在具有非零不变概率测度的混沌子集 ,特别不存在具有非零不变概率测度的序列分布混沌子集 .
In this paper it is proved that there are no scramble sets with nonzero invariant probability measure and especially there are no sequence distribution scramble sets with nonzero invariant probability measure in the minimal mappings of a compace metric space and interval mappings with zero topological entropy.
出处
《吉林大学自然科学学报》
CAS
CSCD
2000年第2期25-26,共2页
Acta Scientiarum Naturalium Universitatis Jilinensis
基金
国家自然科学基金!(批准号 :199710 3 5 )
关键词
紧度量空间
连续映射
混沌集
不变概率测度
compact metric space
continuous mapping
scramble
invariant probability measures
