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April 1998 Coupling and ergodic theorems for Fleming-Viot processes
S. N. Ethier, Thomas G. Kurtz
Ann. Probab. 26(2): 533-561 (April 1998). DOI: 10.1214/aop/1022855643


Fleming-Viot processes are probability-measure-valued diffusion processes that can be used as stochastic models in population genetics. Here we use duality methods to prove ergodic theorems for Fleming-Viot processes, including those with recombination. Coupling methods are also used to establish ergodicity of Fleming-Viot processes, first without and then with selection. A special type of selection known as symmetric overdominance is treated by other methods.


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S. N. Ethier. Thomas G. Kurtz. "Coupling and ergodic theorems for Fleming-Viot processes." Ann. Probab. 26 (2) 533 - 561, April 1998.


Published: April 1998
First available in Project Euclid: 31 May 2002

zbMATH: 0940.60045
MathSciNet: MR1626158
Digital Object Identifier: 10.1214/aop/1022855643

Primary: 60F99 , 60J60
Secondary: 60G10 , 60G57 , 92D10

Keywords: coupling , Duality , ergodicity , measure-valued diffusion , Population genetics , recombination , selection , stationary distribution

Rights: Copyright © 1998 Institute of Mathematical Statistics

Vol.26 • No. 2 • April 1998
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