Pál Révész, "Balls left empty by a critical branching Wiener process", International Journal of Stochastic Analysis, vol. 9, Article ID 919451, 19 pages, 1996. https://doi.org/10.1155/S1048953396000445
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.
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