{
  "id": "1707.08419",
  "version": "v1",
  "published": "2017-07-26T13:08:58.000Z",
  "updated": "2017-07-26T13:08:58.000Z",
  "title": "Quasi-stationarity and quasi-ergodicity for discrete-time Markov chains with absorbing boundaries moving periodically",
  "authors": [
    "William Oçafrain"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We are interested in quasi-stationarity and quasi-ergodicity when the absorbing boundary is moving. First we show that, in the moving boundary case, the quasi-stationary distribution and the quasi-limiting distribution are not well-defined when the boundary is oscillating periodically. Then we show the existence of a quasi-ergodic distribution for any discrete-time irreducible Markov chain defined on a finite space state in the fixed boundary case. Finally we use this last result to show the quasi-ergodicity in the moving boundary case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-26T13:08:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "discrete-time markov chains",
      "absorbing boundary",
      "absorbing boundaries moving",
      "quasi-ergodicity",
      "quasi-stationarity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}