A Reversibility Problem for Fleming-Viot Processes

Zenghu Li (Beijing Normal University)
Tokuzo Shiga (Tokyo Institute of Technology)
Lihua Yao (CTB-McGraw-Hill)

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.

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Pages: 65-76

Publication Date: July 22, 1999

DOI: 10.1214/ECP.v4-1007

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