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Tagged Particle Limit for a Fleming-Viot Type System


 
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1. Title Title of document Tagged Particle Limit for a Fleming-Viot Type System
 
2. Creator Author's name, affiliation, country Ilie A. Grigorescu; University of Miami
 
2. Creator Author's name, affiliation, country Min Kang; North Carolina State University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Fleming-Viot, propagation of chaos, tagged particle,
 
3. Subject Subject classification 60K35; 60J50;35K15
 
4. Description Abstract We consider a branching system of $N$ Brownian particles evolving independently in a domain $D$ during any time interval between boundary hits. As soon as one particle reaches the boundary it is killed and one of the other particles splits into two independent particles, the complement of the set $D$ acting as a catalyst or hard obstacle. Identifying the newly born particle with the one killed upon contact with the catalyst, we determine the exact law of the tagged particle as $N$ approaches infinity. In addition, we show that any finite number of labelled particles become independent in the limit. Both results can be seen as scaling limits of a genome population undergoing redistribution present in the Fleming-Viot dynamics.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2006-04-20
 
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/316
 
10. Identifier Digital Object Identifier 10.1214/EJP.v11-316
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 11
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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