The genealogy of Galton-Watson trees

DOI10.1214/19-EJP355zbMath1467.60065arXiv1709.08500MaRDI QIDQ2274215

Samuel Johnston

Publication date: 19 September 2019

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

Full work available at URL: https://arxiv.org/abs/1709.08500

zbMATH Keywords

branching processescoalescenceGalton-Watson treesspinesFaà Di Bruno's formula

Mathematics Subject Classification ID

Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (9)

The coalescent tree of a Markov branching process with generalised logistic growth ⋮ The coalescent structure of continuous-time Galton-Watson trees ⋮ Convergence of genealogies through spinal decomposition with an application to population genetics ⋮ 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 ⋮ Some properties of stationary continuous state branching processes ⋮ Coalescences in continuous-state branching processes ⋮ Faà di Bruno's formula and inversion of power series

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