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 Electronic Communications in Probability > Vol. 4 (1999) > Paper 9 open journal systems 


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.


Full text: PDF

Pages: 65-76

Published on: July 22, 1999
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Electronic Communications in Probability. ISSN: 1083-589X