On the weak convergence of super-Brownian motion with immigration

DOI10.1007/s11425-009-0110-yzbMath1179.60057OpenAlexW2048343002MaRDI QIDQ1044255

Mei Zhang

Publication date: 11 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0110-y

zbMATH Keywords

central limit theoremtightnesssuper-Brownian motion with immigration

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Central limit theorem for a class of SPDEs

Cites Work

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• Tightness of probabilities on C([0,1;\(S_ p\)) and D([0,1];\(S_ p\))]
• A weighted occupation time for a class of measure-valued branching processes
• Occupation time fluctuations of an infinite-variance branching system in large dimensions
• A long range dependence stable process and an infinite variance branching system
• Functional central limit theorem for super \(\alpha\)-stable processes
• Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems
• Longtime behavior for the occupation time process of a super-Brownian motion with random immigration.
• Functional central limit theorem for the super-Brownian motion with super-Brownian immigra\-tion
• Limit theorems for occupation time fluctuations of branching systems. I: long-range dependence
• Limit theorems for occupation time fluctuations of branching systems. II: Critical and large dimensions
• A central limit theorem for super-Brownian motion with super-Brownian immigration