| 混沌集的不变概率测度 |
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| 引用本文： | 杜凤芝,王立娟.混沌集的不变概率测度[J].吉林大学学报(理学版),2000(2):25-26. |
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| 作者姓名： | 杜凤芝 王立娟 |
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| 作者单位： | 1. 鞍山师范学院财经系,鞍山,114005
2. 吉林大学数学系,长春,130023 |
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| 基金项目： | 国家自然科学基金(批准号：19971035)。 |
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| 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。
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| 关 键 词： | 紧度量空间 连续映射 混沌集 不变概率测度 |
| 文章编号： | 0529-0279(2000)02-0025-02 |
| 修稿时间： | 1999-10-09 |
The Invariant Probability Measures of Scramble Sets |
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| DU Feng-zhi,WANG Li-juan.The Invariant Probability Measures of Scramble Sets[J].Journal of Jilin University: Sci Ed,2000(2):25-26. |
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| Authors: | DU Feng-zhi WANG Li-juan |
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| Institution: | DU Feng-zhi
;(Department of Finance and Economics, Anshan Normal College, Anshan, 114005);WANG Li-iuan
;(Department of Mathematics, Jilin University, Changchun, 130023) |
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| Abstract: | 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. |
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| Keywords: | compact metric space continuous mapping scramble invariant probability measures |
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