A central limit theorem for branching Brownian motion with random immigration

DOI10.1007/s10114-013-2148-6zbMath1287.60105OpenAlexW2141977637MaRDI QIDQ2440493

Hongyan Sun

Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-2148-6

zbMATH Keywords

central limit theoremoccupation timebranching Brownian motionrandom immigration

Mathematics Subject Classification ID

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

Cites Work

• Occupation times of subcritical branching immigration systems with Markov motions
• Branching particle systems and superprocesses
• Occupation times for critical branching Brownian motions
• Some long-range dependence processes arising from fluctuations of particle systems
• 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
• Maximum geographic range of a mutant allele considered as a subtype of a Brownian branching random field
• Immigration processes associated with branching particle systems
• A central limit theorem for super-Brownian motion with super-Brownian immigration