{
  "id": "1512.06359",
  "version": "v1",
  "published": "2015-12-20T11:46:21.000Z",
  "updated": "2015-12-20T11:46:21.000Z",
  "title": "Generalized couplings and convergence of transition probabilities",
  "authors": [
    "Alexei Kulik",
    "Michael Scheutzow"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We provide sufficient conditions for the uniqueness of an invariant measure of a Markov process as well as for the weak convergence of transition probabilities to the invariant measure. Our conditions are formulated in terms of generalized couplings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-20T11:46:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J05",
      "60J25",
      "37L40"
    ],
    "keywords": [
      "transition probabilities",
      "generalized couplings",
      "invariant measure",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}