{
  "id": "math/9909189",
  "version": "v1",
  "published": "1999-09-19T00:00:00.000Z",
  "updated": "1999-09-19T00:00:00.000Z",
  "title": "Quasi-invariance and reversibility in the Fleming-Viot process",
  "authors": [
    "Kenji Handa"
  ],
  "categories": [
    "math.PR"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-09-19T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fleming-viot process",
      "reversibility",
      "quasi-invariance",
      "periodic boundary condition",
      "integral characterization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}