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| 直线上随机环境中可逗留的随机游动的若干性质 | |
| 引用本文： | 胡学平,李会葆. 直线上随机环境中可逗留的随机游动的若干性质[J]. 数学研究, 2006, 39(2): 198-203 |
| 作者姓名： | 胡学平 李会葆 |
| 作者单位： | 1. 安徽师范大学数学计算机科学学院,安徽,芜湖,241000;安庆师范学院数学系,安徽,安庆,246011 2. 安庆师范学院数学系,安徽,安庆,246011 |
| 基金项目： | 安徽省高校自然科学基金 |
| 摘 要： | 主要研究直线上随机环境中可逗留的随机游动的常返性与极限性质,在独立随机环境下,通过强大数定律给出了常返与暂留的一个充分条件;在一般随机环境下,通过数列的有界性给出了常返与零常返的充分条件并讨论了在独立随机环境下非常返性中的大数定律,从而推广了Solomon的研究框架. |
| 关 键 词： | 随机环境 随机游动 常返 零常返 正常返 强大数定律 |
| 收稿时间： | 2005-05-18 |
| 修稿时间： | 2005-05-18 |
Some Properties of Random Walks with Resting State on the Line in Random Environments |
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| Hu Xueping,Li Huibao. Some Properties of Random Walks with Resting State on the Line in Random Environments[J]. Journal of Mathematical Study, 2006, 39(2): 198-203 | |
| Authors: | Hu Xueping Li Huibao |
| Abstract: | In this paper, we mainly deal with recurrence and limit theorem of random walks with resting state on the line in random environment. In independent random environment, we provide a recurrence-transience sufficient condiction by the strong law of large numbers and study the law of large numbers in the nonrecurrence. In general random environment, we provid some sufficient conditions for recurrence and null recurrence by boundedness of sequence of numbers. So we extend the frame which Solomon has studied. |
| Keywords: | random environment random walk recurrence null recurrence positive recurrence strong law of large numbers |
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