Quasi-invariance and reversibility in the Fleming-Viot process
Probability
2016-09-07 v1
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.
Cite
@article{arxiv.math/9909189,
title = {Quasi-invariance and reversibility in the Fleming-Viot process},
author = {Kenji Handa},
journal= {arXiv preprint arXiv:math/9909189},
year = {2016}
}