机构地区: 南京邮电学院
出 处: 《应用概率统计》 2000年第2期152-158,共7页
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.