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

Authors
Bertoin, J Le Gall, JF
Citation
J. Bertoin et Jf. Le Gall, The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes, PROB TH REL, 117(2), 2000, pp. 249-266
Citations number
12
Categorie Soggetti
Mathematics
Journal title
PROBABILITY THEORY AND RELATED FIELDS
ISSN journal
01788051 → ACNP
Volume
117
Issue
2
Year of publication
2000
Pages
249 - 266
Database
ISI
SICI code
0178-8051(200006)117:2<249:TBCATG>2.0.ZU;2-E
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 Bo lthausen-Sznitman and others.