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On criteria of disconnectedness of $\Lambda$-Fleming-Viot support


 
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1. Title Title of document On criteria of disconnectedness of $\Lambda$-Fleming-Viot support
 
2. Creator Author's name, affiliation, country Xiaowen Zhou; Concordia University; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) superprocess; $\La$-Fleming-Viot process
 
3. Subject Subject classification 60J80; 60G17
 
4. Description Abstract The totally disconnectedness of support for super Brownian motion in high dimensions is well known. In this paper, we prove that similar results also hold for $\Lambda$-Fleming-Viot process with Brownian spatial motion provided that the associated $\Lambda$-coalescent does not come down from infinity fast enough. Our proof is another application of the lookdown particle representation for $\Lambda$-Fleming-Viot process. We also discuss the disjointness of independent $\Lambda$-Fleming-Viot supports and ranges in high dimensions. The disconnectedness of the $\Lambda$-Fleming-Viot support remains open in certain low dimensions.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) NSERC
 
7. Date (YYYY-MM-DD) 2014-08-11
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3208
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3208
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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