Scaling limits of bisexual Galton–Watson processes

DOI10.1080/17442508.2022.2123706zbMath1518.60077arXiv2006.05110OpenAlexW3035660240MaRDI QIDQ6164106

Maria-Emilia Caballero, Jaime San Martín, Sylvie Méléard, Vincent Bansaye

Publication date: 27 July 2023

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05110

zbMATH Keywords

scaling limitsGalton-Watson processesdiffusions with jumpsuniqueness of singular SDE

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Strong limit theorems (60F15) Population dynamics (general) (92D25) Large deviations (60F10) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27) Jump processes on discrete state spaces (60J74)

Cites Work

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• Scaling limits of population and evolution processes in random environment
• The Limit of a Sequence of Branching Processes
• Extinction conditions for certain bisexual Galton-Watson branching processes
• Continuous state branching processes

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