{
  "id": "math/0404467",
  "version": "v1",
  "published": "2004-04-26T19:14:46.000Z",
  "updated": "2004-04-26T19:14:46.000Z",
  "title": "Generating Functions of Random Walks on Graphs",
  "authors": [
    "Vadim Kostrykin",
    "Robert Schrader"
  ],
  "comment": "Uses epic and eepic styles",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The article provides an explicit algebraic expression for the generating function of walks on graphs. Its proof is based on the scattering theory for the differential Laplace operator on non-compact graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-04-26T19:14:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "34B45",
      "60G50"
    ],
    "keywords": [
      "generating function",
      "random walks",
      "differential laplace operator",
      "explicit algebraic expression",
      "non-compact graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4467K"
    }
  }
}