[1]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,(02):183-186.
 GUO Xin-wei,YU Jian-hua,Qi Hai-tao.Ergodicity for a Class of Markov Operators[J].,2013,(02):183-186.
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一类Markov算子的遍历性()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年02期
页码:
183-186
栏目:
出版日期:
2013-03-01

文章信息/Info

Title:
Ergodicity for a Class of Markov Operators
作者:
郭新伟;喻建华;齐海涛
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
Author(s):
GUO Xin-wei;YU Jian-hua;Qi Hai-tao
关键词:
Markov-Feller算子不变测度紧性测度遍历分解
Keywords:
Markov-Feller operatorsinvariant measurestight measuresergodic decomposition
分类号:
O177.99
文献标志码:
A
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.
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.

参考文献/References:

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相似文献/References:

[1]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,(04):419.
 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].,2014,(02):419.

备注/Memo

备注/Memo:
国家自然科学基金(11102102)
更新日期/Last Update: 1900-01-01