Article ID Journal Published Year Pages File Type
1157099 Stochastic Processes and their Applications 2006 17 Pages PDF
Abstract

We give functional limit theorems for the fluctuations of the rescaled occupation time process of a critical branching particle system in RdRd with symmetric αα-stable motion in the cases of critical and large dimensions, d=2αd=2α and d>2αd>2α. In a previous paper [T. Bojdecki, L.G. Gorostiza, A. Talarczyk, Limit theorems for occupation time fluctuations of branching systems I: long-range dependence, Stochastic Process. Appl., this issue.] we treated the case of intermediate dimensions, ααd>α.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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