Transient behaviour of a Galton–Watson process with a large number of types

DOI10.1239/jap/1067436097zbMath1069.60071OpenAlexW2118144656MaRDI QIDQ4819512

Christine Reder

Publication date: 27 September 2004

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1067436097

zbMATH Keywords

nonstandard analysismultitype Galton-Watson processmitochondrial genetics

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Genetics and epigenetics (92D10) Limit theorems in probability theory (60F99) Other applications of nonstandard models (economics, physics, etc.) (03H10)

Cites Work

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• Geometric growth in near-supercritical population size dependent multitype Galton-Watson processes
• On the convergence of multitype branching processes with varying environments
• On a multitype Galton-Watson process with state-dependent immigration
• Deviations from Typical Type Proportions in Critical Multitype Galton-Watson Processes
• On the existence of the stable birth-type distribution in a general branching process cell cycle model with unequal cell division
• Radically Elementary Probability Theory. (AM-117)
• Internal set theory: A new approach to nonstandard analysis
• Continuity for multi-type branching processes with varying environments

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