{
  "id": "2101.00608",
  "version": "v1",
  "published": "2021-01-03T11:18:24.000Z",
  "updated": "2021-01-03T11:18:24.000Z",
  "title": "On regularity of functions of Markov chains",
  "authors": [
    "Steven Berghout",
    "Evgeny Verbitskiy"
  ],
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "We consider processes which are functions of finite-state Markov chains. It is well known that such processes are rarely Markov. However, such processes are often regular in the following sense: the distant past values of the process have diminishing influence on the distribution of the present value. In the present paper, we present novel sufficient conditions for regularity of functions of Markov chains.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-03T11:18:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "regularity",
      "distant past values",
      "novel sufficient conditions",
      "finite-state markov chains",
      "diminishing influence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}