A key limit theorem for critical branching processes

DOI10.1016/0304-4149(94)00046-VzbMath0819.60072MaRDI QIDQ1890724

Serik Sagitov

Publication date: 23 May 1995

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

zbMATH Keywords

nonlinear integral equationcritical general branching processesfunctional limit theorem nonlinear integral equation

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Renewal theory (60K05)

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Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges ⋮ Scaling limits via excursion theory: interplay between Crump-Mode-Jagers branching processes and processor-sharing queues ⋮ Linear-fractional branching processes with countably many types ⋮ On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent ⋮ Asymptotic behavior of local times of compound Poisson processes with drift in the infinite variance case

Cites Work

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• Limiting behavior of general branching processes
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• A limit theorem for a critical branching process of general type
• The growth and composition of branching populations
• The stable pedigrees of critical branching populations
• Convergence of general branching processes and functionals thereof
• Conditional limit theorems for general branching processes
• The stable doubly infinite pedigree process of supercritical branching populations
• Further notes on branching processes with mean 1
• A Multidimensional Critical Branching Process Generated by a Large Number of Particles of One Type

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