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


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.


Coalescent Process Genealogical Structure 
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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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