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Large Deviations and Quasi-Potential of a Fleming-Viot Process


 
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1. Title Title of document Large Deviations and Quasi-Potential of a Fleming-Viot Process
 
2. Creator Author's name, affiliation, country Shui Feng; McMaster University
 
2. Creator Author's name, affiliation, country Jie Xiong; University of Tennessee
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Fleming-Viot process, large deviations, quasi-potential.
 
3. Subject Subject classification Primary 60F10; secondary 92D10.
 
4. Description Abstract The large deviation principle is established for the Fleming-Viot process with neutral mutation when the process starts from a point on the boundary. Since the diffusion coefficient is degenerate on the boundary, the boundary behavior of the process is investigated in detail. This leads to the explicit identification of the rate function, the quasi-potential, and the structure of the effective domain of the rate function.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2002-01-07
 
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/1043
 
10. Identifier Digital Object Identifier 10.1214/ECP.v7-1043
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 7
 
12. Language English=en en
 
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