| 一类Markov算子的遍历性 |
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| 引用本文： | 郭新伟,喻建华,齐海涛.一类Markov算子的遍历性[J].江西师范大学学报(自然科学版),2013,0(2):183-186. |
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| 作者姓名： | 郭新伟 喻建华 齐海涛 |
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| 作者单位： | 山东大学威海分校数学与统计学院,山东威海,264209；东华理工大学长江学院,江西南昌,330013 |
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| 基金项目： | 国家自然科学基金(11102102)资助项目 |
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| 摘 要： | 利用遍历理论研究了完备可分距离空间上其对偶算子的算术平均具有等度连续性的Markov-Feller算子的遍历性质,得到此类算子的Yosida型遍历分解定理,并简洁证明了Markov-Feller算子具有唯一不变测度的一个结果.
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| 关 键 词： | Markov-Feller算子 不变测度 紧性测度 遍历分解 |
Ergodicity for a Class of Markov Operators |
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| GUO Xin-wei,YU Jian-hua,QI Hai-tao.Ergodicity for a Class of Markov Operators[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2013,0(2):183-186. |
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| Authors: | GUO Xin-wei YU Jian-hua QI Hai-tao |
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| Institution: | 1(1.School of Mathematics and Statics,Shandong University at Weihai,Weihai Shandong 264209,China; 2.Yangtze College,East China Institute of Technology,Nanchang Jiangxi 330013,China) |
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| Abstract: | Ergodicity of a class of Markov-Feller operators with equicontinuous average dual operators is studied by the ergodic theory.As an application,a Yosida type ergodic decomposition theorem for such operators is proved and a simple proof on the uniqueness of invariant measures for Markov-Feller operators is given. |
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| Keywords: | Markov-Feller operators invariant measures tight measures ergodic decomposition |
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