Occupation time processes of super-Brownian motion with cut-off branching
文献类型：期刊论文
| 作者 | Dong, Z ; Feng, S
|
| 刊名 | JOURNAL OF APPLIED PROBABILITY
 |
| 出版日期 | 2004-12-01 |
| 卷号 | 41期号:4页码:984-997 |
| 关键词 | Super-Brownian motion occupation time process large deviation |
| ISSN号 | 0021-9002 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000225984300005 |
| 出版者 | APPLIED PROBABILITY TRUST |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19642]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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