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Probability Theory and Related Fields

, Volume 117, Issue 2, pp 249–266 | Cite as

The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes

  • Jean Bertoin
  • Jean-François Le Gall

Abstract.

We use Bochner’s subordination to give a representation of the genealogical structure associated with general continuous-state branching processes. We then apply this representation to connections between a branching process introduced by Neveu, and the coalescent process recently investigated by Bolthausen-Sznitman and others.

Keywords

Coalescent Process Genealogical Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Jean Bertoin
    • 1
  • Jean-François Le Gall
    • 2
  1. 1.Laboratoire de Probabilités et Modèles Aléatoires, UMR 7599, Université Pierre et Marie Curie, 4, place Jussieu, F-75252 Paris Cedex 05, France. e-mail: jbe@ccr.jussieu.frFR
  2. 2.DMI – Ecole Normale Supérieure, 45, rue d'Ulm, F-75230 Paris Cedex 05, France. e-mail: legall@dmi.ens.frFR

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