The Annals of Probability

Coupling and ergodic theorems for Fleming-Viot processes

S. N. Ethier and Thomas G. Kurtz

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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.

Article information

Ann. Probab., Volume 26, Number 2 (1998), 533-561.

First available in Project Euclid: 31 May 2002

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Zentralblatt MATH identifier

Primary: 60F99: None of the above, but in this section 60J60: Diffusion processes [See also 58J65]
Secondary: 60G10: Stationary processes 60G57: Random measures 92D10: Genetics {For genetic algebras, see 17D92}

Ergodicity stationary distribution duality coupling measure-valued diffusion population genetics recombination selection


Ethier, S. N.; Kurtz, Thomas G. Coupling and ergodic theorems for Fleming-Viot processes. Ann. Probab. 26 (1998), no. 2, 533--561. doi:10.1214/aop/1022855643.

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