超布朗运动关于区域的首中方式(英文)  

The First Hitting Manner of Super-Brownian Motions

作　　者：唐加山[1] 赵学雷[2] 

机构地区：[1]南京邮电学院,南京210003 [2]复旦大学,上海200433

出　　处：《应用概率统计》2000年第2期152-158,共7页Chinese Journal of Applied Probability and Statistics

基　　金：National Natural Science Foundation of China.

摘　　要：应用Ｌｅ Ｇａｌｌ的超布朗运动的轨道构造，研究超布朗运动关于区域的首中方式．证明了它在首中一个区域时，其支撑集与区域闭包的交集的点数不大于２，并提出了一个猜想．Using the path construction of super-Brownian motions given by Le Gall, we investigate the first hitting manner of a domain by super-Brownian motions and show that the cardinal number of the intersection between closure of the domain and support of the super-Brownian motion at the first hitting time is less than 2. We also propose a conjecture that the cardinal number is at most one.

关 键 词：超布朗运动 轨道构造 首中方式 区域 维纳过程 

分 类 号：O211.62[理学—概率论与数理统计]