Journal article
A small-time coupling between Λ-coalescents and branching processes
- Abstract:
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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
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Authors
Bibliographic Details
- 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
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:487687
- UUID:
-
uuid:b0a381db-d7bd-4471-ad2e-23c52fffd423
- Local pid:
- pubs:487687
- Deposit date:
- 2014-11-11
Terms of use
- Copyright date:
- 2014
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