{
  "id": "1311.4510",
  "version": "v1",
  "published": "2013-11-18T19:41:20.000Z",
  "updated": "2013-11-18T19:41:20.000Z",
  "title": "On the quasi-invariance of the Wiener measure on path spaces and the anticipative integrals over a Riemannian manifold",
  "authors": [
    "Adnan Aboulalaa"
  ],
  "comment": "26 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Some parts of stochastic analysis on curved spaces are revisted. A concise proof of the quasi-invariance of the Wiener measure on the path spaces over a Riemannian manifold is presented. The shifts are allowed to be in the Cameron-Martin space and random. The second part of the paper presents some remarks on the anticipative integrals on Riemannian manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-18T19:41:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J65",
      "60H07",
      "28C20"
    ],
    "keywords": [
      "riemannian manifold",
      "path spaces",
      "wiener measure",
      "anticipative integrals",
      "quasi-invariance"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4510A"
    }
  }
}