A small-time coupling between \(\Lambda\)-coalescents and branching processes

DOI10.1214/12-AAP911zbMath1303.60066arXiv1101.1875OpenAlexW3103256900MaRDI QIDQ2448685

Vlada Limic, Julien Berestycki, Nathanaël Berestycki

Publication date: 5 May 2014

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

Full work available at URL: https://arxiv.org/abs/1101.1875

zbMATH Keywords

Lévy processesFleming-Viot processescontinuous-state branching processeslookdown construction\(\Lambda\)-coalescentsparticle system representation

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Population dynamics (general) (92D25) Limit theorems in probability theory (60F99)

Related Items

The Λ-Fleming-Viot Process and a Connection with Wright-Fisher Diffusion ⋮ Asymptotic sampling formulae for \(\varLambda\)-coalescents ⋮ Scaling limits for a class of regular \(\Xi\)-coalescents ⋮ The relative frequency between two continuous-state branching processes with immigration and their genealogy ⋮ The coalescent structure of uniform and Poisson samples from multitype branching processes ⋮ Trees within trees: simple nested coalescents ⋮ Time to most recent common ancestor for stationary continuous state branching processes with immigration ⋮ Coagulation and universal scaling limits for critical Galton–Watson processes ⋮ On exceptional times for generalized Fleming-Viot processes with mutations ⋮ The segregated \(\Lambda\)-coalescent ⋮ Instantaneous support propagation for \(\Lambda\)-Fleming-Viot processes ⋮ Second-order asymptotics for the block counting process in a class of regularly varying \({\Lambda}\)-coalescents

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