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

Feng, Shui; Schmuland, Byron; Vaillancourt, Jean; Zhou, Xiaowen

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

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Description

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.
19 pages