| 动力系统的遍历性 |
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| 引用本文： | 曾凡平,王磊杰,徐雪群. 动力系统的遍历性[J]. 广西大学学报(自然科学版), 2009, 34(3) |
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| 作者姓名： | 曾凡平 王磊杰 徐雪群 |
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| 作者单位： | 广西大学数学与信息科学学院,广西南宁,530004;广西大学数学与信息科学学院,广西南宁,530004;广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 国家自然科学基金资助项目，广西自然科学基金资助项目，广西教育厅科研基金资助项目 |
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| 摘 要： | 给出遍历性及唯一遍历的几个等价条件.主要结果是定理4、定理6及定理7.并利用定理4给出定理5的一个证明.定理6及定理7给出唯一遍历的等价条件,定理7的证明采用的是泛函分析的方法.
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| 关 键 词： | 保测变换 遍历 唯一遍历 |
Ergodicity of dynamical systems |
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| ZENG Fan-ping,WANG Lei-jie,XU Xue-qun. Ergodicity of dynamical systems[J]. Journal of Guangxi University(Natural Science Edition), 2009, 34(3) |
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| Authors: | ZENG Fan-ping WANG Lei-jie XU Xue-qun |
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| Affiliation: | College of Mathematics and information Science;Guangxi University;Nanning 530004;China |
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| Abstract: | The purpose of this article is to give some equivalent conditions for ergodicity and unique ergodicity.The main results are sheorem 4,theorem 6 and theorem 7.Theorem 4 gives asufficient and nassary condition for ergodicity,and we give a proof of theorem 5 by theorem 4.Some equivalent conditions for unique ergodicity are included in theorem 6 and theorem 7 and the methods of the proof of theorem 7 is from functional analysis. |
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| Keywords: | measure-preserving transformation ergodic unique ergodic |
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