| 一类Markov-Feller算子不变测度的存在性与唯一性 |
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| 引用本文： | 郭新伟,吕延芳,齐海涛. 一类Markov-Feller算子不变测度的存在性与唯一性[J]. 江西师范大学学报(自然科学版), 2014, 0(4): 419-423 |
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| 作者姓名： | 郭新伟 吕延芳 齐海涛 |
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| 作者单位： | 山东大学 威海 数学与统计学院,山东 威海,264209 |
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| 摘 要： | 讨论了完备可分距离空间上一类 Markov-Feller 算子的遍历性质，给出了存在不变测度的充分必要条件以及唯一不变测度的充分条件，研究了此类算子轨道的稠密性质。
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| 关 键 词： | Markov-Feller 算子 不变测度 唯一不变测度 |
The Existence and Uniqueness of Invariant Probability Measures for a Class of Markov-Feller OPerators |
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| GUO Xin-wei,LYU Yan-fang,QI Hao-tao. The Existence and Uniqueness of Invariant Probability Measures for a Class of Markov-Feller OPerators[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2014, 0(4): 419-423 |
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| Authors: | GUO Xin-wei LYU Yan-fang QI Hao-tao |
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| Affiliation: | GUO Xin-wei;LYU Yan-fang;QI Hao-tao;School of Mathematics and Statics,Shandong University at Weihai; |
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| Abstract: | The ergodic property of the Markov-Feller operators on complete separable spaces is discussed. The exist-ence and uniqueness of invariant probability measures for the Markov-Feller operators with equicontinuous dual op-erators is given. In addition,the dense trajectories for the operators is studied. |
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| Keywords: | Markov-Feller operators invariant measures unique invariant measures |
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