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


Bertoin, Jean; Le Gall, J-F (2000). The Bolthausen-Sznitman coalescent and the genealogy of continuous-state branching processes. Probability Theory and Related Fields, 117(2):249-266.

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

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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57 citations in Web of Science®
51 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2000
Deposited On:24 Jul 2013 08:34
Last Modified:05 Apr 2016 16:52
Publisher:Springer
ISSN:0178-8051
Publisher DOI:https://doi.org/10.1007/s004400050006
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1771663
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0963.60086

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