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| 摘要: |
| 引出了随机环境中马氏链的π不可约和强π不可约性的定义，在强π不可约条件下，得到了随机环境中马氏链强常返的充要条件以及随机环境中马氏链常返的判定准则，最后在π 不可约条件下讨论了常返与强常返的关系 |
| 关键词: 随机环境 马氏链 π 不可约 强π 不可约 常返性 强常返性 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Recurrence and Strong Recurrence for Markov Chains in Random Environments |
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Wu Xiao-min
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| Abstract: |
| In this paper,we introduce the definition about the π-irrdeucibility and strong π-irredeucibiliy Markow chains in random environment are recurrent are given,thereby the sufficient and necessary condition of strong recurrence of strong π-irrdeucibility Markov chains in random environments is obtained.The relation between recurrence and strong recurrence in the condition of strong π-irrdeucibility Markov chains in random environmengts is discussed. |
| Key words: random environments Markov chains π-irrdeucibility strong π-irrdeucibility recurrence strong recurrence |
