Balls left empty by a critical branching Wiener process

Balls left empty by a critical branching Wiener process

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Article ID: iaor19972207
Country: United States
Volume: 9
Issue: 4
Start Page Number: 531
End Page Number: 549
Publication Date: Dec 1996
Journal: Journal of Applied Mathematics and Stochastic Analysis
Authors:
Keywords: markov processes
Abstract:

At time t=0 we have a Poisson random field on ℝ’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 ℝ’d which does not contain any particle at time T. The present goal is to characterize the properties of the stochastic process {RT,T≥0}.

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