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A Reversibility Problem for Fleming-Viot Processes


 
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1. Title Title of document A Reversibility Problem for Fleming-Viot Processes
 
2. Creator Author's name, affiliation, country Zenghu Li; Beijing Normal University
 
2. Creator Author's name, affiliation, country Tokuzo Shiga; Tokyo Institute of Technology
 
2. Creator Author's name, affiliation, country Lihua Yao; CTB-McGraw-Hill
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Fleming-Viot processes, measure-valueddiffusion, reversibility, Dirichlet space
 
3. Subject Subject classification Primary 60G57, 60J60; Secondary 92D15
 
4. Description Abstract Fleming-Viot processes incorporating mutation and selection are considered. It is well-known that if the mutation factor is of uniform type, the process has a reversible stationary distribution, and it has been an open problem to characterize the class of the processes that have reversible stationary distributions. This paper proves that if a Fleming-Viot process has a reversible stationary distribution, then the associated mutation operator is of uniform type.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1999-07-22
 
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/1007
 
10. Identifier Digital Object Identifier 10.1214/ECP.v4-1007
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 4
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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