Measure-branching renewal processes

DOI10.1016/0304-4149(94)90030-2zbMath0810.60081OpenAlexW2062825714MaRDI QIDQ1338750

Serik Sagitov

Publication date: 20 November 1994

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

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90030-2

zbMATH Keywords

branching renewal modelmeasure-branching processmeasure-valued renewal process

Mathematics Subject Classification ID

Markov renewal processes, semi-Markov processes (60K15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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A key limit theorem for critical branching processes ⋮ Height and contour processes of Crump-Mode-Jagers forests. I: general distribution and scaling limits in the case of short edges

Cites Work

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• Strong clumping of critical space-time branching models in subcritical dimensions
• General branching processes as Markov fields
• Stopping times and tightness
• Limit Theorems for a Sequence of Branching Processes with Immigration
• The growth and composition of branching populations
• The stable pedigrees of critical branching populations
• A criterion of convergence of measure‐valued processes: application to measure branching processes
• On the convergence of supercritical general (C-M-J) branching processes

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