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Reversibility of Interacting Fleming-Viot Processes with Mutation, Selection, and Recombination

  Published:2010-08-24
 Printed: Feb 2011
  • Shui Feng,
    Department of Mathematics and Statistics, McMaster University, Hamilton, ON
  • Byron Schmuland,
    Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB
  • Jean Vaillancourt,
    Université du Québec en Outaouais, Gatineau, QC
  • Xiaowen Zhou,
    Department of Mathematics and Statistics, Concordia University, Montreal, QC
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Abstract

Reversibility of the Fleming--Viot process with mutation, selection, and recombination is well understood. In this paper, we study the reversibility of a system of Fleming--Viot processes that live on a countable number of colonies interacting with each other through migrations between the colonies. It is shown that reversibility fails when both migration and mutation are non-trivial.
MSC Classifications: 60J60, 60J70 show english descriptions Diffusion processes [See also 58J65]
Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx]
60J60 - Diffusion processes [See also 58J65]
60J70 - Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) [See also 92Dxx]
 

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