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The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion


 
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1. Title Title of document The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion
 
2. Creator Author's name, affiliation, country Huili Liu; Concordia University; Canada
 
2. Creator Author's name, affiliation, country Xiaowen Zhou; Concordia University; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) $\Lambda$-Fleming-Viot process ; $\Lambda$-coalescent ; compact support property ; lookdown construction
 
3. Subject Subject classification 60G57 ; 60J80 ; 60G17
 
4. Description Abstract Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the  $\Lambda$-Fleming-Viot process with underlying Brownian motion has a compact support provided that the corresponding $\Lambda$-coalescent comes down from infinity not too slowly. We also find both upper bound and lower bound on the Hausdorff dimension for the support.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSERC
 
7. Date (YYYY-MM-DD) 2012-08-31
 
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/1928
 
10. Identifier Digital Object Identifier 10.1214/EJP.v17-1928
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 17
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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