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The branching chain with drift in space-time random environment (i): model, markov property, moments
Hu Dihe1; Hu Xiaoyu2
刊名Acta mathematica scientia
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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