| 群作用下的Khintchine回归定理 |
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| 引用本文： | 王磊杰.群作用下的Khintchine回归定理[J].文山师范高等专科学校学报,2011,24(6):29-31,34. |
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| 作者姓名： | 王磊杰 |
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| 作者单位： | 文山学院数理系,云南文山,663000 |
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| 摘 要： | 利用积分论得出保测变换的一个基本性质及庞加莱回归定理的一个等价命题,建立概率保测系统概念,并推广了Khintchine回归定理,利用一般的Khintchine回归定理得到了回归集的一些性质。
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| 关 键 词： | 保测变换群 syndetic IP集 回归集 |
A General Khintchine Recurrence Theorem |
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| WANG Lei-jie.A General Khintchine Recurrence Theorem[J].Journal of Wenshan Teachers College,2011,24(6):29-31,34. |
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| Authors: | WANG Lei-jie |
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| Institution: | WANG Lei-jie (Department of Mathematics and Physics, Wenshan University, Wenshan 663000, China) |
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| Abstract: | A simple property of measure-preserving transformation and one equivalent proposition of Poincare recurrence theorem are obtained by using integral theory. The paper establishes the concept of measure-preserving system and extends the recunence theorem. Some properties of return sets are obtained by using the general Khintchine recurrence theorem. |
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| Keywords: | Measure-preserving group syndetic IP set return sets |
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