Continuum Space Limit of the Genealogies of Interacting Fleming-Viot Processes on $\Z$

@article{Greven2015ContinuumSL,
  title={Continuum Space Limit of the Genealogies of Interacting Fleming-Viot Processes on \$\Z\$},
  author={Andreas Greven and Rongfeng Sun and Anita Winter},
  journal={arXiv: Probability},
  year={2015}
}
We study the evolution of genealogies of a population of individuals, whose type frequencies result in an interacting Fleming-Viot process on $\Z$. We construct and analyze the genealogical structure of the population in this genealogy-valued Fleming-Viot process as a marked metric measure space, with each individual carrying its spatial location as a mark. We then show that its time evolution converges to that of the genealogy of a continuum-sites stepping stone model on $\R$, if space and… 
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