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A Reversibility Problem for Fleming-Viot Processes

   
@article{ECP1007,
	author = {Zenghu Li and Tokuzo Shiga and Lihua Yao},
	title = {A Reversibility Problem for Fleming-Viot Processes},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {4},
	year = {1999},
	keywords = {Fleming-Viot processes, measure-valueddiffusion, reversibility, Dirichlet space},
	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.},
	pages = {no. 9, 65-76},
	issn = {1083-589X},
	doi = {10.1214/ECP.v4-1007},    
        url = {http://ecp.ejpecp.org/article/view/1007}}