| THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT （I）： MODEL,MARKOV PROPERTY,MOMENTS |
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| 引用本文： | 胡迪鹤,胡晓予.THE BRANCHING CHAIN WITH DRIFT IN SPACE-TIME RANDOM ENVIRONMENT （I）： MODEL,MARKOV PROPERTY,MOMENTS[J].数学物理学报(B辑英文版),2010(5):1669-1678. |
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| 作者姓名： | 胡迪鹤 胡晓予 |
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| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]Graduate University, Chinese Academy of Sciences, Beijing 100049, China |
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| 基金项目： | Supported by the NSFC （10371092, 11771185, 10871200）. |
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| 摘 要： | There are three parts in this article. In Section 1, we establish the model of branching chain with drift in space-time random environment （BCDSTRE）, i.e., the coupling of branching chain and random walk. In Section 2, we prove that any BCDSTRE must be a Markov chain in time random environment when we consider the distribution of the particles in space as a random element. In Section 3, we calculate the first-order moments and the second-order moments of BCDSTRE.
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| 关 键 词： | 时间随机环境 支链 模型 漂移 马氏性 随机环境马氏链 空间 大肠杆菌 |
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