Diffusion processes and coalescent trees

  title={Diffusion processes and coalescent trees},
  author={Robert C. Griffiths and Dario Span{\`o}},
We dedicate this paper to Sir John Kingman on his 70th Birthday. In modern mathematical population genetics the ancestral history of a population of genes back in time is described by John Kingman’s coalescent tree. Classical and modern approaches model gene frequencies by diffusion processes. This paper, which is partly a review, discusses how coalescent processes are dual to diffusion processes in an analytic and probabilistic sense. Bochner (1954) and Gasper (1972) were interested in… CONTINUE READING
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