A Note on the Small-Time Behaviour of the Largest Block Size of Beta n-Coalescents

DOI10.1007/978-3-319-77643-9_8zbMath1524.60215OpenAlexW2810637553MaRDI QIDQ6173309

Arno Siri-Jégousse, Linglong Yuan

Publication date: 21 July 2023

Published in: XII Symposium of Probability and Stochastic Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-77643-9_8

zbMATH Keywords

beta-coalescentblock-counting processKingman's paintbox constructioncontinuous-state branching processeslargest block size

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Coalescent processes (60J90)

Related Items (1)

The minimal observable clade size of exchangeable coalescents

Cites Work

• Unnamed Item
• Asymptotics of the minimal clade size and related functionals of certain beta-coalescents
• The asymptotic distribution of the length of beta-coalescent trees
• Small-time behavior of beta coalescents
• The evolving beta coalescent
• Asymptotic results on the length of coalescent trees
• The coalescent
• Coalescents with multiple collisions
• The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes
• Alpha-stable branching and beta-coalescents
• Particle representations for measure-valued population models
• A classification of coalescent processes for haploid exchangeable population models
• On the length of an external branch in the beta-coalescent
• A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity
• Asymptotic number of caterpillars of regularly varying \(\Lambda\)-coalescents that come down from infinity
• Beta-coalescents and continuous stable random trees
• On the length distribution of external branches in coalescence trees: Genetic diversity within species
• Coalescent processes obtained from supercritical Galton-Watson processes.
• On the measure division construction of \Lambda-coalescents
• Minimal Clade Size in the Bolthausen-Sznitman Coalescent
• The general coalescent with asynchronous mergers of ancestral lines
• A branching process with mean one and possibly infinite variance
• Minimal clade size and external branch length under the neutral coalescent
• Large-scale behaviour and hydrodynamic limit of beta coalescents

This page was built for publication: A Note on the Small-Time Behaviour of the Largest Block Size of Beta n-Coalescents