Occupation time processes of super-Brownian motion with cut-off branching

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	Occupation time processes of super-Brownian motion with cut-off branching
	Dong, Z; Feng, S
	2004-12-01
发表期刊	JOURNAL OF APPLIED PROBABILITY
ISSN	0021-9002
卷号	41 期号:4 页码:984-997
摘要	In this article we investigate a class of superprocess with cut-off branching, studying the long-time behavior of the occupation time process. Persistence of the process holds in all dimensions. Central-limit-type theorems are obtained, and the scales are dimension dependent. The Gaussian limit holds only when d less than or equal to 4. In dimension one, a full large deviation principle is established and the rate function is identified explicitly. Our result shows that the super-Brownian motion with cut-off branching in dimension one has many features that are similar to super-Brownian motion in dimension three.
关键词	Super-Brownian motion occupation time process large deviation
语种	英语
WOS研究方向	Mathematics
WOS类目	Statistics & Probability
WOS记录号	WOS:000225984300005
出版者	APPLIED PROBABILITY TRUST
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19643
专题	应用数学研究所
通讯作者	Dong, Z
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada
推荐引用方式 GB/T 7714	Dong, Z,Feng, S. Occupation time processes of super-Brownian motion with cut-off branching[J]. JOURNAL OF APPLIED PROBABILITY,2004,41(4):984-997.
APA	Dong, Z,&Feng, S.(2004).Occupation time processes of super-Brownian motion with cut-off branching.JOURNAL OF APPLIED PROBABILITY,41(4),984-997.
MLA	Dong, Z,et al."Occupation time processes of super-Brownian motion with cut-off branching".JOURNAL OF APPLIED PROBABILITY 41.4(2004):984-997.