{
  "id": "1803.06930",
  "version": "v1",
  "published": "2018-03-19T14:00:39.000Z",
  "updated": "2018-03-19T14:00:39.000Z",
  "title": "Explicit formula for the density of local times of Markov Jump Processes",
  "authors": [
    "Ruojun Huang",
    "Daniel Kious",
    "Vladas Sidoravicius",
    "Pierre Tarrès"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this note we show a simple formula for the joint density of local times, last exit tree and cycling numbers of continuous-time Markov Chains on finite graphs, which involves the modified Bessel function of the first type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-19T14:00:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "markov jump processes",
      "local times",
      "explicit formula",
      "continuous-time markov chains",
      "simple formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}