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

Published online by Cambridge University Press:  20 November 2018

Shui Feng ,
Byron Schmuland ,
Jean Vaillancourt  and
Xiaowen Zhou
Shui Feng
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON email: shuifeng@mcmaster.ca
Byron Schmuland
Affiliation:
Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB email: schmu@stat.ualberta.ca
Jean Vaillancourt
Affiliation:
Université du Québec en Outaouais, Gatineau, QC email: jean.vaillancourt@uqo.ca
Xiaowen Zhou
Affiliation:
Department of Mathematics and Statistics, Concordia University, Montreal, QC email: xzhou@mathstat.concordia.ca
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Abstract

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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.

Keywords

60J6060J70
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 1 , 01 February 2011 , pp. 104 - 122
Copyright
Copyright © Canadian Mathematical Society 2011

References

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