In this paper,a two-parameters Brownian sphere model is constructed by using three-dimensional Brownian motions and uniform distribution with parameter index.According to its construction principle,we discuss the related geometric properties of this kind of random sphere model,and give the numerical characteristics of its corresponding surface area and volume.Specifically,the so-journ and collision problems of class molecular models with swelling characteristics were discussed us-ing this random ball,and corresponding probability estimates were provided.
关键词
随机球/布朗运动/留守概率/碰撞概率
Key words
random sphere/brownian motions/sojourn probability/collision probability
维普
万方数据