临界超布朗运动的遍历定理  

THE ERGODIC THEOREM OF THE CRITICAL SUPER-BROWNIAN MOTION

作　　者：坚雄飞[1] 陈兴才 

机构地区：[1]华南师范大学数学系,广州510631 [2]天水籍口学校数学组,天水741014

出　　处：《华南师范大学学报（自然科学版）》1999年第2期10-14,共5页Journal of South China Normal University(Natural Science Edition)

摘　　要：考虑以Ｌｅｂｅｓｇｕｅ测度μ为初值的Ｍｐ（Ｒｄ）－值超布朗运动，其分枝特征为ψ（ｘ，ｚ）＝－（１＋｜ｘ｜）θｚ２（－２＜θ≤－１）．若底空间维数ｄ＝１，它的全占位时为无穷，同时，强遍历定理成立－A M p(R d) -valued super-Brownian motion, with Lebesgue measure as its initial value, has the branching characteristic of Ψ(x, z)=-(1+｜x｜) θz 2 (-2<θ≤-1) is comsidered. If the dimension d =1, then the total occupation time is infinite, and meanwhile an ergodic theorem is given.

关 键 词：超布朗运动 遍历定理 径向函数 超过程 

分 类 号：O211.6[理学—概率论与数理统计]