Grigorescu, Ilie; Kang, Min - In: Stochastic Processes and their Applications 110 (2004) 1, pp. 111-143
We consider a system of N Brownian particles evolving independently in a domain D. As soon as one particle reaches the boundary it is killed and one of the other particles is chosen uniformly and splits into two independent particles resuming a new cycle of independent motion until the next...