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Large-scale behaviour and hydrodynamic limit of beta coalescents (Q6161793)

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scientific article; zbMATH DE number 7692252

Language	Label	Description	Also known as
English	Large-scale behaviour and hydrodynamic limit of beta coalescents	scientific article; zbMATH DE number 7692252

Statements

scholarly article

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Large-scale behaviour and hydrodynamic limit of beta coalescents (English)

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The Annals of Applied Probability

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publication date

5 June 2023

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zbMATH Keywords

Bell polynomials

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coalescent processes

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hydrodynamic limit

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law of large numbers

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1214/22-aap1782

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Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists

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The fragmentation process of an infinite recursive tree and Ornstein-Uhlenbeck type processes

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The \(\Lambda \)-coalescent speed of coming down from infinity

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Small-time behavior of beta coalescents

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Stochastic flows associated to coalescent processes. III: Limit theorems

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Continuous branching processes and spectral positivity

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Particle representations for measure-valued population models

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Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.

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Asymptotic behaviour of continuous time, continuous state-space branching processes

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The Curious History of Faa di Bruno's Formula

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On the block counting process and the fixation line of the Bolthausen-Sznitman coalescent

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Diffusion limits at small times for \(\Lambda\)-coalescents with a Kingman component

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Second-order asymptotics for the block counting process in a class of regularly varying \({\Lambda}\)-coalescents

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Second order behavior of the block counting process of beta coalescents

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The Mittag-Leffler process and a scaling limit for the block counting process of the Bolthausen-Sznitman coalescent

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Coalescents with multiple collisions

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Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.

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The general coalescent with asynchronous mergers of ancestral lines

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A necessary and sufficient condition for the \(\Lambda\)-coalescent to come down from the infinity

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Dynamics of the evolving Bolthausen-Sznitman coalescent

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Rigorous results for a population model with selection. II: Genealogy of the population

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Properties of semigroups generated by first order differential operators

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An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach

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Identifiers

zbMATH Open document ID

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10.1214/22-aap1782

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6161793

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