{
  "id": "1905.06145",
  "version": "v1",
  "published": "2019-05-15T12:54:20.000Z",
  "updated": "2019-05-15T12:54:20.000Z",
  "title": "On convergence rate for homogeneous Markov chains",
  "authors": [
    "Alexander Veretennikov",
    "Maria Veretennikova"
  ],
  "comment": "10 pages, 19 references",
  "categories": [
    "math.PR"
  ],
  "abstract": "Improved rates of convergence for ergodic homogeneous Markov chains are studied. In comparison to the earlier papers the setting is also generalised to the case without a unique dominated measure. Examples are provided where the new bound is compared with the classical Markov -- Dobrushin inequality and with the second eigenvalue of the transition matrix for finite state spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-15T12:54:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J05",
      "60J10"
    ],
    "keywords": [
      "convergence rate",
      "finite state spaces",
      "ergodic homogeneous markov chains",
      "unique dominated measure",
      "earlier papers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}