{
  "id": "0901.2453",
  "version": "v2",
  "published": "2009-01-16T11:00:11.000Z",
  "updated": "2009-09-03T16:10:06.000Z",
  "title": "State-dependent Foster-Lyapunov criteria for subgeometric convergence of Markov chains",
  "authors": [
    "Stephen B. Connor",
    "Gersende Fort"
  ],
  "comment": "20 pages, LaTeX: paper reduced in length",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider a form of state-dependent drift condition for a general Markov chain, whereby the chain subsampled at some deterministic time satisfies a geometric Foster-Lyapunov condition. We present sufficient criteria for such a drift condition to exist, and use these to partially answer a question posed by Connor & Kendall (2007) concerning the existence of so-called 'tame' Markov chains. Furthermore, we show that our 'subsampled drift condition' implies the existence of finite moments for the return time to a small set.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-03T16:10:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J10",
      "37A25"
    ],
    "keywords": [
      "state-dependent foster-lyapunov criteria",
      "subgeometric convergence",
      "geometric foster-lyapunov condition",
      "deterministic time satisfies",
      "general markov chain"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}