Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence

DOI10.1016/j.spa.2005.07.002zbMath1082.60024OpenAlexW1976219225MaRDI QIDQ2576954

Anna Talarczyk, Louis G. Gorostiza, Tomasz Bojdecki

Publication date: 29 December 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2005.07.002

zbMATH Keywords

fractional Brownian motionfunctional limit theorembranching particle systemsub-fractional Brownian motiondistribution-valued Gaussian process

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Self-similar stochastic processes (60G18) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)

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