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A small-time coupling between Λ-coalescents and branching processes

Abstract:

We describe a new general connection between Λ-coalescents and genealogies of continuous-state branching processes. This connection is based on the construction of an explicit coupling using a particle representation inspired by the lookdown process of Donnelly and Kurtz. This coupling has the property that the coalescent comes down from infinity if and only if the branching process becomes extinct, thereby answering a question of Bertoin and Le Gall. The coupling also offers new perspective ...

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Publisher copy:
10.1214/12-AAP911

Authors


Publisher:
Institute of Mathematical Statistics
Journal:
Annals of Applied Probability
Volume:
24
Issue:
2
Pages:
449-475
Publication date:
2014-01-01
DOI:
ISSN:
1050-5164
Source identifiers:
487687
Language:
English
Keywords:
Pubs id:
pubs:487687
UUID:
uuid:b0a381db-d7bd-4471-ad2e-23c52fffd423
Local pid:
pubs:487687
Deposit date:
2014-11-11

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