%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 }