International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 1996 / Article

Open Access

Volume 9 |Article ID 919451 | 19 pages |

Balls left empty by a critical branching Wiener process

Received01 Jul 1996
Revised01 Oct 1996


At time t=0 we have a Poisson random field on d. Each particle executes a critical branching Wiener process starting from its position at time t=0. Let RT be the radius of the largest ball around the origin of d which does not contain any particle at time T. Our goal is to characterize the properties of the stochastic process {RT,T0}.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.

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