On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes

DOI10.1080/15326349.2017.1375958zbMath1390.60311arXiv1709.07630OpenAlexW3099149071MaRDI QIDQ4639225

Thierry E. Huillet, Nicolas Grosjean

Publication date: 3 May 2018

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07630

zbMATH Keywords

ancestral process of the Bienyamé-Galton-Watson processcoalescence times under conditioningsampling without replacement formulae

Mathematics Subject Classification ID

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

Related Items (9)

The coalescent structure of continuous-time Galton-Watson trees ⋮ A characterisation of the reconstructed birth-death process through time rescaling ⋮ The height of the latest common ancestor of two randomly chosen leaves from a (sub-)critical Galton-Watson tree ⋮ The coalescent structure of uniform and Poisson samples from multitype branching processes ⋮ Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees ⋮ Ancestral reproductive bias in branching processes ⋮ The genealogy of Galton-Watson trees ⋮ Coalescent models derived from birth-death processes ⋮ Coalescence in the diffusion limit of a Bienaymé-Galton-Watson branching process

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Coalescence in the recent past in rapidly growing populations
• On Mittag-Leffler distributions and related stochastic processes
• The coalescent
• A random walk approach to Galton-Watson trees
• Additional aspects of the generalized linear-fractional branching process
• A classification of coalescent processes for haploid exchangeable population models
• Lauricella's hypergeometric function \(F_ D\)
• Coalescence in Critical and Subcritical Galton-Watson Branching Processes
• A Special Family of Galton-Watson Processes with Explosions
• Limiting Distributions of the Distance to the Closest Common Ancestor
• Coalescence times for the branching process
• DIRECT PRODUCT BRANCHING PROCESSES AND RELATED MARKOV CHAINS
• Asymptotics of Symmetric Compound Poisson Population Models
• Coalescence Times for the Bienaymé-Galton-Watson Process
• First Passage and Recurrence Distributions

This page was built for publication: On the genealogy and coalescence times of Bienaymé–Galton–Watson branching processes