| 弱Specification性质与不变概率测度 |
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| 引用本文： | 乔宗敏,顾荣宝.弱Specification性质与不变概率测度[J].安徽大学学报(自然科学版),2004,28(5):8-10. |
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| 作者姓名： | 乔宗敏 顾荣宝 |
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| 作者单位： | 安徽教育学院,数学系,安徽,合肥,230061;安徽大学,计算智能与信号处理教育部重点实验室,安徽,合肥,230039;南京财经大学,数学系,江苏,南京,210003 |
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| 基金项目： | 安徽省教育厅青年教师基金 |
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| 摘 要： | 对紧致度量空间上连续自映射,研究了弱Specification性质与不变概率测度之间的关系,证明了具有弱Specification性质的系统一定存在f:X→X的不变概率测度m,使得Suppm=X,并且f:X→X有满测度中心,即M(f)=X.
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| 关 键 词： | 连续自映射 弱Spcification 不变概率测度 |
| 文章编号： | 1008-6162(2004)05-0008-03 |
Continuous map having the weak specification property and chaos |
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| QIAO Zong-min.Continuous map having the weak specification property and chaos[J].Journal of Anhui University(Natural Sciences),2004,28(5):8-10. |
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| Authors: | QIAO Zong-min |
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| Institution: | QIAO Zong-min~ |
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| Abstract: | For conntinuous map of compact metric space,we study the relationships between the weak specification property and invariant probability measure. Then we prove that the system with weak specification must have a continuous map f:X→X with an invariant probability measure m ,such that Suppm=X and M(f)=X. |
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| Keywords: | continuous map weak specification chaos |
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