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.
出处
《华南师范大学学报（自然科学版）》
CAS
1999年第2期10-14,共5页
Journal of South China Normal University(Natural Science Edition)
关键词
超布朗运动
遍历定理
径向函数
超过程
super-Brownian motion
branching rate function
occupation time process
ergodic theorem
radial function
