{
  "id": "1703.09481",
  "version": "v1",
  "published": "2017-03-28T09:50:04.000Z",
  "updated": "2017-03-28T09:50:04.000Z",
  "title": "Metastable Markov chains",
  "authors": [
    "C. Landim",
    "M. Loulakis",
    "M. Mourragui"
  ],
  "categories": [
    "math.PR",
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider continuous-time Markov chains which display a family of wells at the same depth. We show that in an appropriate time-scale the state of the process can be represented as a time-dependent convex combination of mestastable states, each of which is supported on one well. The time dependence of the convex combination is given in terms of the distribution of a reduced Markov chain.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-28T09:50:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metastable markov chains",
      "continuous-time markov chains",
      "time-dependent convex combination",
      "time dependence",
      "appropriate time-scale"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}