{
  "id": "math/0606365",
  "version": "v1",
  "published": "2006-06-15T15:06:44.000Z",
  "updated": "2006-06-15T15:06:44.000Z",
  "title": "Quasi-invariant measures on the path space of a diffusion",
  "authors": [
    "Denis Bell"
  ],
  "categories": [
    "math.PR",
    "math.DG"
  ],
  "abstract": "The author has previously constructed a class of admissible vector fields on the path space of an elliptic diffusion process $x$ taking values in a closed compact manifold. In this Note the existence of flows for this class of vector fields is established and it is shown that the law of $x$ is quasi-invariant under these flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-15T15:06:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "path space",
      "quasi-invariant measures",
      "elliptic diffusion process",
      "admissible vector fields",
      "closed compact manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6365B"
    }
  }
}