{
  "id": "math/0505260",
  "version": "v1",
  "published": "2005-05-12T14:10:13.000Z",
  "updated": "2005-05-12T14:10:13.000Z",
  "title": "Subgeometric ergodicity of strong Markov processes",
  "authors": [
    "G. Fort",
    "G. O. Roberts"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/105051605000000115 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2005, Vol. 15, No. 2, 1565-1589",
  "doi": "10.1214/105051605000000115",
  "categories": [
    "math.PR"
  ],
  "abstract": "We derive sufficient conditions for subgeometric f-ergodicity of strongly Markovian processes. We first propose a criterion based on modulated moment of some delayed return-time to a petite set. We then formulate a criterion for polynomial f-ergodicity in terms of a drift condition on the generator. Applications to specific processes are considered, including Langevin tempered diffusions on R^n and storage models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-12T14:10:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J25",
      "60J60",
      "60K30"
    ],
    "keywords": [
      "strong markov processes",
      "subgeometric ergodicity",
      "subgeometric f-ergodicity",
      "storage models",
      "strongly markovian processes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5260F"
    }
  }
}