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The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes
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  • Published: June 2000

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

  • Jean Bertoin1 &
  • Jean-François Le Gall2 

Probability Theory and Related Fields volume 117, pages 249–266 (2000)Cite this article

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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.

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Authors and Affiliations

  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.fr, , , , , , FR

    Jean Bertoin

  2. DMI – Ecole Normale Supérieure, 45, rue d'Ulm, F-75230 Paris Cedex 05, France. e-mail: legall@dmi.ens.fr, , , , , , FR

    Jean-François Le Gall

Authors
  1. Jean Bertoin
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  2. Jean-François Le Gall
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Received: 25 March 1999 / Revised version: 13 September 1999 /¶Published online: 11 April 2000

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Bertoin, J., Le Gall, JF. The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes. Probab Theory Relat Fields 117, 249–266 (2000). https://doi.org/10.1007/s004400050006

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  • Issue Date: June 2000

  • DOI: https://doi.org/10.1007/s004400050006

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Keywords

  • Coalescent Process
  • Genealogical Structure
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