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From flows of $\Lambda$-Fleming-Viot processes to lookdown processes via flows of partitions


 
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1. Title Title of document From flows of $\Lambda$-Fleming-Viot processes to lookdown processes via flows of partitions
 
2. Creator Author's name, affiliation, country Cyril Labbé; Université Pierre et Marie Curie; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Stochastic flow; Fleming-Viot process; Lookdown process; Partition; Coalescent; Exchangeable bridge
 
3. Subject Subject classification 60J25; 60G09; 92D25
 
4. Description Abstract The goal of this paper is to unify the lookdown representation and the stochastic flow of bridges, which are two approaches to construct the $\Lambda$-Fleming-Viot process along with its genealogy. First we introduce the stochastic flow of partitions and show that it provides a new formulation of the lookdown representation. Second we study the asymptotic behaviour of the $\Lambda$-Fleming-Viot process and we provide sufficient conditions for the existence of an infinite sequence of Eves that generalise the primitive Eve of Bertoin and Le Gall. Finally under the condition that this infinite sequence of Eves does exist, we construct the lookdown representation pathwise from a flow of bridges.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2014-06-25
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/3192
 
10. Identifier Digital Object Identifier 10.1214/EJP.v19-3192
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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