Balls left empty by a critical branching Wiener process

Pál Révész

International Journal of Stochastic Analysis, 1996, vol. 9, 1-19

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 R T be the radius of the largest ball around the origin of ℝ d which does not contain any particle at time T . Our goal is to characterize the properties of the stochastic process { R T , T ≥ 0 } .

This article is dedicated to the memory of Professor Roland L. Dobrushin.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:919451

DOI: 10.1155/S1048953396000445

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