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 fa-
miliar genealogical processes from population genetics, in particular,
Kingman's coalescent, thus unifying the genealogical and measure-valued
approaches to the subject.
%0 Journal Article
%1 donnelly1996countable
%A Donnelly, Peter
%A Kurtz, Thomas G.
%D 1996
%J Ann. Probab.
%K Fleming_Viot coalescent_theory lookdown particle_systems popgen superprocesses
%N 2
%P 698--742
%T A countable representation of the Fleming-Viot measure-valued diffusion
%U http://www.jstor.org/stable/2244946
%V 24
%X 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 fa-
miliar genealogical processes from population genetics, in particular,
Kingman's coalescent, thus unifying the genealogical and measure-valued
approaches to the subject.
@article{donnelly1996countable,
abstract = {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 fa-
miliar genealogical processes from population genetics, in particular,
Kingman's coalescent, thus unifying the genealogical and measure-valued
approaches to the subject.},
added-at = {2008-03-14T00:37:48.000+0100},
author = {Donnelly, Peter and Kurtz, Thomas G.},
biburl = {https://www.bibsonomy.org/bibtex/25cd267d49049970e8aae051c950fd356/peter.ralph},
coden = {APBYAE},
fjournal = {The Annals of Probability},
interhash = {20d1c9b2c955e9619c17d9bd6debb58f},
intrahash = {5cd267d49049970e8aae051c950fd356},
issn = {0091-1798},
journal = {Ann. Probab.},
keywords = {Fleming_Viot coalescent_theory lookdown particle_systems popgen superprocesses},
mrclass = {60J70 (60J25 60J80 60K35 92D10)},
mrnumber = {MR1404525 (98f:60162)},
mrreviewer = {John Verzani},
number = 2,
pages = {698--742},
timestamp = {2014-05-19T21:44:26.000+0200},
title = {A countable representation of the {F}leming-{V}iot measure-valued diffusion},
url = {http://www.jstor.org/stable/2244946},
volume = 24,
year = 1996
}