| 随机环境中马氏链的状态研究 |
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| 引用本文： | 崔静. 随机环境中马氏链的状态研究[J]. 渝州大学学报(自然科学版), 2008, 25(1): 23-24 |
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| 作者姓名： | 崔静 |
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| 作者单位： | 安徽师范大学数学与计算机学院,安徽芜湖241000 |
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| 基金项目： | 安徽省教育厅自然科学基金（KJ2007B184）项目资助. |
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| 摘 要： | 利用马氏链的一般理论和Foguel的L1理论，讨论了随机环境中马氏链状态的性质，得到了状态强常返存在的充分条件、状态正则本质与强常返的关系，以及在一定条件下保守集与其任意非空子集的关系．
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| 关 键 词： | 随机环境中马氏链 强常返 正则本质 不可分 |
| 文章编号： | 1672-058X（2008）01-0023-02 |
| 收稿时间： | 2007-06-29 |
| 修稿时间： | 2007-09-20 |
Properties of states for Markov Chains in random environments |
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| CUI Jing. Properties of states for Markov Chains in random environments[J]. Journal of Yuzhou University(Natural Sciences Edition), 2008, 25(1): 23-24 |
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| Authors: | CUI Jing |
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| Affiliation: | CUI Jing (College of Mathematics and Computer Science, Anhui Normal University, Anhui Wuhu 241000,China) |
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| Abstract: | On the basis of Foguel＇ s L1 Theory and the general theory of Markov Chains, the author discusses the properties of states for Markov Chains in random environments, obtains a sufficient condition for strongly recurrence states and the relationship between strongly recurrence states and properly essential states and, mean-while ,obtains the relationship between conservative set and its subset. |
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| Keywords: | Markov Chains in random environments strong recurrence properly essential indecomposable |
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