| 随机环境中马氏链的一致强遍历性 |
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| 引用本文： | 李应求,李明亮,汪和松,晏小兵.随机环境中马氏链的一致强遍历性[J].长沙理工大学学报(自然科学版),2004,1(1):86-90. |
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| 作者姓名： | 李应求 李明亮 汪和松 晏小兵 |
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| 作者单位： | 长沙理工大学,应用数学研究所,湖南,长沙,410076;长沙理工大学,应用数学研究所,湖南,长沙,410076;长沙理工大学,应用数学研究所,湖南,长沙,410076;长沙理工大学,应用数学研究所,湖南,长沙,410076 |
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| 基金项目： | 国家自然科学基金,Hunan Provincial Foundation for Young and Middleaged People,10271020,00JJEY2141,, |
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| 摘 要： | For Markov chains in random environments, Cogbum( 1984, 1990) first introduced weak ergodic concept that “starting time“ is original point, and gave some conditions ensuring that the chains are weakly ergodic; Li Ying-qiu, Yan Xiao-bing, Wang He-song(2003) and LI Ying-qiu, YAN Xiao-bing and LI Ming-liang (2003) introduced uniformly weak ergodic and strong ergodic concept that “starting time“ is any point, and gave some conditions ensuring that the chains are uniformly weakly ergodic or strongly ergodic. In term of above ideas, the definitions of uniformly strong ergodic and XN -uniformly weak ergodic that “starting time“ is any point are introduced. Some conditions ensuring that the chains are uniformly strongly ergodic are given. It is the basis of further research for Markov chains in random environments.
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| 关 键 词： | 随机环境中马氏链 一致弱遍历 强遍历 一致强遍历 (θ→)-链 |
Uniformly Strong Ergodicity of Markov Chains in Random Environments |
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| Abstract.Uniformly Strong Ergodicity of Markov Chains in Random Environments[J].Journal of Changsha University of Science and Technology:Natural Science,2004,1(1):86-90. |
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| Authors: | Abstract |
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| Abstract: | For Markov chains in random environments, Cogburn(1984, 1990) first introduced weak ergodic concept that "starting time" is original point, and gave some conditions ensuring that the chains are weakly ergodic; Li Ying-qiu, Yan Xiao-bing, Wang He-song(2003) and LI Ying-qiu, YAN Xiao-bing and LI Ming-liang (2003) introduced uniformly weak ergodic and strong ergodic concept that "starting time" is any point, and gave some conditions ensuring that the chains are uniformly weakly ergodic or strongly ergodic. In term of above ideas, the definitions of uniformly strong ergodic and XN+-uniformly weak ergodic that "starting time" is any point are introduced. Some conditions ensuring that the chains are uniformly strongly ergodic are given. It is the basis of further research for Markov chains in random environments. |
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| Keywords: | Markov chains in random environments uniformly weak ergodicity strong ergodicity uniformly strong ergodicity -chain |
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