A countable representation of the Fleming-Viot measure-valued diffusion
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 representatio...
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| Format: | Journal article |
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1996
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| _version_ | 1797080305139449856 |
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| author | Donnelly, P Kurtz, T |
| author_facet | Donnelly, P Kurtz, T |
| author_sort | Donnelly, P |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:58:06Z |
| format | Journal article |
| id | oxford-uuid:88c6fb38-3755-4d80-9631-36589b4f2cae |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:58:06Z |
| publishDate | 1996 |
| record_format | dspace |
| spelling | oxford-uuid:88c6fb38-3755-4d80-9631-36589b4f2cae2022-03-26T22:19:45ZA countable representation of the Fleming-Viot measure-valued diffusionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:88c6fb38-3755-4d80-9631-36589b4f2caeSymplectic Elements at Oxford1996Donnelly, PKurtz, TThe 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. |
| spellingShingle | Donnelly, P Kurtz, T A countable representation of the Fleming-Viot measure-valued diffusion |
| title | A countable representation of the Fleming-Viot measure-valued diffusion |
| title_full | A countable representation of the Fleming-Viot measure-valued diffusion |
| title_fullStr | A countable representation of the Fleming-Viot measure-valued diffusion |
| title_full_unstemmed | A countable representation of the Fleming-Viot measure-valued diffusion |
| title_short | A countable representation of the Fleming-Viot measure-valued diffusion |
| title_sort | countable representation of the fleming viot measure valued diffusion |
| work_keys_str_mv | AT donnellyp acountablerepresentationoftheflemingviotmeasurevalueddiffusion AT kurtzt acountablerepresentationoftheflemingviotmeasurevalueddiffusion AT donnellyp countablerepresentationoftheflemingviotmeasurevalueddiffusion AT kurtzt countablerepresentationoftheflemingviotmeasurevalueddiffusion |