The branching chain with drift in space-time random environment (i): model, markov property, moments | |
Hu Dihe1; Hu Xiaoyu2 | |
刊名 | Acta mathematica scientia
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2010-09-01 | |
卷号 | 30期号:5页码:1669-1678 |
关键词 | Branching chain with drift in space-time random environment Random branching generating function Local random transition generating function Random drift law Random branching law |
ISSN号 | 0252-9602 |
通讯作者 | Hu dihe(dhhu@whu.edu.cn) |
英文摘要 | 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. |
WOS关键词 | CENTRAL-LIMIT-THEOREM ; RANDOM-WALKS ; PROBABILITIES |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000282498900030 |
内容类型 | 期刊论文 |
URI标识 | http://www.corc.org.cn/handle/1471x/2412654 |
专题 | 中国科学院大学 |
通讯作者 | Hu Dihe |
作者单位 | 1.Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China 2.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Hu Dihe,Hu Xiaoyu. The branching chain with drift in space-time random environment (i): model, markov property, moments[J]. Acta mathematica scientia,2010,30(5):1669-1678. |
APA | Hu Dihe,&Hu Xiaoyu.(2010).The branching chain with drift in space-time random environment (i): model, markov property, moments.Acta mathematica scientia,30(5),1669-1678. |
MLA | Hu Dihe,et al."The branching chain with drift in space-time random environment (i): model, markov property, moments".Acta mathematica scientia 30.5(2010):1669-1678. |
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