Balls left empty by a critical branching Wiener process
At time we have a Poisson random field on . Each particle executes a critical branching Wiener process starting from its position at time . Let be the radius of the largest ball around the origin of which does not contain any particle at time . Our goal is to characterize the properties of the stochastic process .This article is dedicated to the memory of Professor Roland L. Dobrushin.
Copyright © 1996 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.