Quasi-invariance and reversibility in the Fleming-Viot process

1999/09/19 by Handa, Kenji
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.math/9909189

Abstract

Reversible measures of the Fleming-Viot process are shown to be characterized as quasi-invariant measures with a cocycle given in terms of the mutation operator. As applications, we give certain integral characterization of Poisson-Dirichlet distributions and a proof that the stationary measure of the step-wise mutation model of Ohta-Kimura with periodic boundary condition is nonreversible.

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