{
  "id": "1305.0839",
  "version": "v1",
  "published": "2013-05-03T20:29:21.000Z",
  "updated": "2013-05-03T20:29:21.000Z",
  "title": "Stochastic flows on metric graphs",
  "authors": [
    "Hatem Hajri",
    "Olivier Raimond"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a simple stochastic differential equation driven by one Brownian motion on a general oriented metric graph whose solutions are stochastic flows of kernels. Under some condition, we describe the laws of all solutions. This work is a natural continuation of some previous papers by Hajri, Hajri-Raimond and Le Jan-Raimond where some particular graphs have been considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-03T20:29:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic flows",
      "simple stochastic differential equation driven",
      "general oriented metric graph",
      "brownian motion",
      "natural continuation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.0839H"
    }
  }
}