Coupling and ergodic theorems for Fleming-Viot processes
Ethier, S. N. ; Kurtz, Thomas G.
Ann. Probab., Tome 26 (1998) no. 1, p. 533-561 / Harvested from Project Euclid
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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.
Publié le : 1998-04-14
Classification:  Ergodicity,  stationary distribution,  duality,  coupling,  measure-valued diffusion,  population genetics,  recombination,  selection,  60F99,  60J60,  60G10,  60G57,  92D10 
@article{1022855643,
     author = {Ethier, S. N. and Kurtz, Thomas G.},
     title = {Coupling and ergodic theorems for Fleming-Viot processes},
     journal = {Ann. Probab.},
     volume = {26},
     number = {1},
     year = {1998},
     pages = { 533-561},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1022855643}
}

Ethier, S. N.; Kurtz, Thomas G. Coupling and ergodic theorems for Fleming-Viot processes. Ann. Probab., Tome 26 (1998) no. 1, pp.  533-561. http://gdmltest.u-ga.fr/item/1022855643/