The genealogy of critical branching processes

DOI10.1016/0304-4149(78)90071-6zbMath0394.60082OpenAlexW2074952615MaRDI QIDQ1252674

Richard T. Durrett

Publication date: 1978

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(78)90071-6

zbMATH Keywords

Central Limit TheoremBranching Random WalkCritical Branching ProcessDegree of RelationshipGeneration Numbers

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Branching processes. I ⋮ Branching processes. II ⋮ The coalescent structure of continuous-time Galton-Watson trees ⋮ Critical age-dependent branching Markov processes and their scaling limits ⋮ 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 ⋮ Reduced Critical Branching Processes for Small Populations ⋮ Reduced critical Bellman-Harris branching processes for small populations ⋮ Coalescence on supercritical Bellman-Harris branching processes ⋮ Asymptotic genealogy of a critical branching process ⋮ The genealogy of Galton-Watson trees ⋮ Uniform sampling in a structured branching population ⋮ Coalescence in the diffusion limit of a Bienaymé-Galton-Watson branching process ⋮ Maxima of branching random walks

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