Limit theorems for occupation time fluctuations of branching systems II: Critical and large dimensions

T. Bojdecki, L.G. Gorostiza and A. Talarczyk

Stochastic Processes and their Applications, 2006, vol. 116, issue 1, 19-35

Abstract: We give functional limit theorems for the fluctuations of the rescaled occupation time process of a critical branching particle system in with symmetric [alpha]-stable motion in the cases of critical and large dimensions, d=2[alpha] and d>2[alpha]. 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, [alpha] [alpha].

Keywords: Functional; limit; theorem; Occupation; time; fluctuation; Branching; particle; system; Generalized; Wiener; process; Critical; dimension (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (9)

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