English

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

Probability 2008-03-12 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0803.1492,
  title  = {Reversibility of Interacting Fleming-Viot Processes with Mutation, Selection, and Recombination},
  author = {Shui Feng and Byron Schmuland and Jean Vaillancourt and Xiaowen Zhou},
  journal= {arXiv preprint arXiv:0803.1492},
  year   = {2008}
}

Comments

19 pages

R2 v1 2026-06-21T10:20:20.723Z