{
  "id": "1012.0733",
  "version": "v2",
  "published": "2010-12-03T13:27:44.000Z",
  "updated": "2010-12-06T16:16:43.000Z",
  "title": "Brownian Motions on Metric Graphs I - Definition, Feller Property, and Generators",
  "authors": [
    "Vadim Kostrykin",
    "Jürgen Potthoff",
    "Robert Schrader"
  ],
  "comment": "version 02: references updated, font problem fixed",
  "categories": [
    "math.PR"
  ],
  "abstract": "Brownian motions on a metric graph are defined, their Feller property is proved, and their generators are characterized. This yields a version of Feller's theorem for metric graphs.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-06T16:16:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J65",
      "60J45",
      "60H99",
      "58J65",
      "35K05",
      "05C99"
    ],
    "keywords": [
      "metric graph",
      "feller property",
      "brownian motions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.0733K"
    }
  }
}