{
  "id": "1012.0739",
  "version": "v2",
  "published": "2010-12-03T13:39:45.000Z",
  "updated": "2010-12-06T16:17:58.000Z",
  "title": "Brownian Motions on Metric Graphs III - Construction: General Metric Graphs",
  "authors": [
    "Vadim Kostrykin",
    "Jürgen Potthoff",
    "Robert Schrader"
  ],
  "comment": "version 02: references updated",
  "categories": [
    "math.PR"
  ],
  "abstract": "Consider a metric graph G with set of vertices V. Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G such that its generator - viewed as an operator on the space of continuous functions vanishing at infinity - has a domain consisting of twice continuously differentiable functions satisfying these boundary conditions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-06T16:17:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65",
      "60J45",
      "60H99",
      "58J65",
      "35K05",
      "05C99"
    ],
    "keywords": [
      "general metric graphs",
      "brownian motion",
      "construction",
      "continuously differentiable functions satisfying",
      "wentzell boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0739K"
    }
  }
}