Genealogy of flows of continuous-state branching processes via flows of partitions and the Eve property

DOI10.1214/13-AIHP542zbMath1308.60099arXiv1205.0764OpenAlexW4300248351MaRDI QIDQ405488

Cyril Labbé

Publication date: 5 September 2014

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0764

zbMATH Keywords

partitionsubordinatorstochastic flowgenealogymeasure-valued processcontinuous-state branching processEve propertylookdown process

Mathematics Subject Classification ID

Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Asymptotic behaviour of ancestral lineages in subcritical continuous-state branching populations ⋮ The coalescent structure of uniform and Poisson samples from multitype branching processes ⋮ Coalescences in continuous-state branching processes ⋮ Continuous-state branching processes, extremal processes and super-individuals

Cites Work

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• The continuum random tree. I
• Proof(s) of the Lamperti representation of continuous-state branching processes
• Propriétés de martingales, explosion et représentation de Lévy- Khintchine d'une classe de processus de branchement à valeurs mesures. (Martingale properties, explosions and Levy-Khinchine representation of measure valued branching processes)
• The behavior of superprocesses near extinction
• Branching processes in Lévy processes: The exploration process
• Stochastic flows associated to coalescent processes
• 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
• Tree-valued resampling dynamics martingale problems and applications
• From flows of \(\Lambda\)-Fleming-Viot processes to lookdown processes via flows of partitions
• Genealogy of catalytic branching models
• Stochastic flows associated to coalescent processes. III: Limit theorems
• A limit theorem of branching processes and continuous state branching processes
• On the eve property for CSBP
• Growth of Lévy trees
• On Prolific Individuals in a Supercritical Continuous-State Branching Process
• Historical processes
• Asymptotic behaviour of continuous time, continuous state-space branching processes
• Random Fragmentation and Coagulation Processes
• Stochastic branching processes with continuous state space