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A functional ergodic theorem for the occupation time process of a branching system

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  • Talarczyk, Anna

Abstract

We prove a functional ergodic theorem for the occupation time process of a (d,[alpha],[beta])-branching particle system (particles moving in according to a spherically symmetric [alpha]-stable Lévy process, (1+[beta])-branching, 0

Suggested Citation

  • Talarczyk, Anna, 2008. "A functional ergodic theorem for the occupation time process of a branching system," Statistics & Probability Letters, Elsevier, vol. 78(7), pages 847-853, May.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:7:p:847-853
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    References listed on IDEAS

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    1. Bojdecki, T. & Gorostiza, L.G. & Talarczyk, A., 2006. "Limit theorems for occupation time fluctuations of branching systems II: Critical and large dimensions," Stochastic Processes and their Applications, Elsevier, vol. 116(1), pages 19-35, January.
    2. Bojdecki, T. & Gorostiza, L.G. & Talarczyk, A., 2006. "Limit theorems for occupation time fluctuations of branching systems I: Long-range dependence," Stochastic Processes and their Applications, Elsevier, vol. 116(1), pages 1-18, January.
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