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超布朗运动关于区域的首中方式(英文)
The First Hitting Manner of Super-Brownian Motions
【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.
【Abstract】 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.
【基金】 National Natural Science Foundation of China.
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,2000年02期
- 【分类号】O211.6
- 【被引频次】1
- 【下载频次】23