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

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

2008-03-10

arxiv.org/abs/0803.1492v1

Mathematics

Probability

19 pages

Scientific paper

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.

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