Tree-valued Fleming–Viot dynamics with mutation and selection

@article{Depperschmidt2012TreevaluedFD,
  title={Tree-valued Fleming–Viot dynamics with mutation and selection},
  author={Andrej Depperschmidt and Andreas Greven and Peter Pfaffelhuber},
  journal={Annals of Applied Probability},
  year={2012},
  volume={22},
  pages={2560-2615}
}
The Fleming-Viot measure-valued diffusion is a Markov process describing the evolution of (allelic) types under mutation, selection and random reproduction. We enrich this process by genealogical relations of individuals so that the random type distribution as well as the genealogical distances in the population evolve stochastically. The state space of this tree-valued enrichment of the Fleming-Viot dynamics with mutation and selection (TFVMS) consists of marked ultrametric measure spaces… 

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