The coalescent structure of continuous-time Galton-Watson trees

DOI10.1214/19-AAP1532zbMath1472.60141arXiv1703.00299OpenAlexW2979945985MaRDI QIDQ2657912

Samuel Johnston, Matthew I. Roberts, Simon C. Harris

Publication date: 18 March 2021

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

Full work available at URL: https://arxiv.org/abs/1703.00299

zbMATH Keywords

Galton-Watson treecoalescentgenealogyspine

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Exchangeability for stochastic processes (60G09)

Related Items (19)

The coalescent tree of a Markov branching process with generalised logistic growth ⋮ A characterisation of the reconstructed birth-death process through time rescaling ⋮ Convergence of genealogies through spinal decomposition with an application to population genetics ⋮ Many-to-few for non-local branching Markov process ⋮ The coalescent structure of uniform and Poisson samples from multitype branching processes ⋮ A growth-fragmentation-isolation process on random recursive trees and contact tracing ⋮ Universality classes for the coalescent structure of heavy-tailed Galton-Watson trees ⋮ Spine for interacting populations and sampling ⋮ Ancestral reproductive bias in branching processes ⋮ Reduced Critical Branching Processes for Small Populations ⋮ Reduced critical Bellman-Harris branching processes for small populations ⋮ Some properties of stationary continuous state branching processes ⋮ The genealogy of Galton-Watson trees ⋮ Coalescences in continuous-state branching processes ⋮ Yaglom's limit for critical Galton-Watson processes in varying environment: a probabilistic approach ⋮ Spine decompositions and limit theorems for a class of critical superprocesses ⋮ Coalescent models derived from birth-death processes ⋮ Uniform sampling in a structured branching population ⋮ Coalescence in the diffusion limit of a Bienaymé-Galton-Watson branching process

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