摘要
完备可分度量空间上的随机点过程半群P_N中的素元及I_0元的判别与表征对P_N的半群结构的研究具有重要意义。本文利用直线上概率分布卷积半群的有关性质,证明了P_N中的Poisson过程为I_0元。
The distinguishing of prime elements and Io elements in the semigroup P_N of stochastic point processes on a separable metric space and the studying of semigroup structure of P_N were of great significance. The properties of the convolution semigroup in regard to propability distributions on the line proved that the Poisson process was an I_0 element of P_N.
