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

, and . Probability Theory and Related Fields, 117 (2): 249--266 (June 2000)

Abstract

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, andthe coalescent process recently investigated by Bolthausen-Sznitman and others.

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