A countable representation of the Fleming-Viot measure-valued diffusion
Donnelly, Peter ; Kurtz, Thomas G.
Ann. Probab., Tome 24 (1996) no. 2, p. 698-742 / Harvested from Project Euclid
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The Fleming-Viot measure-valued diffusion arises as the infinite population limit of various discrete genetic models with general type space. The paper gives a countable construction of the process as the empirical measure carried by a certain interactive particle system. This explicit representation facilitates the study of various properties of the Fleming-Viot process. The construction also carries versions of the familiar genealogical processes from population genetics, in particular, Kingman's coalescent, thus unifying the genealogical and measure-valued approaches to the subject.
Publié le : 1996-04-14
Classification:  Fleming-Viot process,  measure-valued diffusion,  exchangeability,  coupling,  sample-path properties,  ergodicity,  genealogical processes,  the coalescent,  60J25,  60K35,  60J70,  60J80,  92D10 
@article{1039639359,
     author = {Donnelly, Peter and Kurtz, Thomas G.},
     title = {A countable representation of the Fleming-Viot measure-valued
		 diffusion},
     journal = {Ann. Probab.},
     volume = {24},
     number = {2},
     year = {1996},
     pages = { 698-742},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1039639359}
}

Donnelly, Peter; Kurtz, Thomas G. A countable representation of the Fleming-Viot measure-valued
		 diffusion. Ann. Probab., Tome 24 (1996) no. 2, pp.  698-742. http://gdmltest.u-ga.fr/item/1039639359/