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A countable representation of the Fleming-Viot measure-valued diffusion

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 familiar genealogical processes from population genetics, in particular, Kin...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MSD, Clinical Medicine, WTC Human Genetics, BHF Centre of Research Excellence, Biomedical Research Centre, MPLS, Statistics
Journal:
ANNALS OF PROBABILITY
Volume:
24
Issue:
2
Pages:
698-742
Publication date:
1996-04-05
ISSN:
0091-1798
URN:
uuid:88c6fb38-3755-4d80-9631-36589b4f2cae
Source identifiers:
69455
Local pid:
pubs:69455

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