{
  "id": "2001.05785",
  "version": "v1",
  "published": "2020-01-16T13:20:23.000Z",
  "updated": "2020-01-16T13:20:23.000Z",
  "title": "The e-property of asymptotically stable Markov-Feller operators",
  "authors": [
    "Ryszard Kukulski",
    "Hanna Wojewódka-Ściążko"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this work, we prove that any asymptotically stable Markov-Feller operator possesses the e-property everywhere outside at most a meagre set. We also provide an example showing that this result is tight. Moreover, an equivalent criterion for the e-property is proposed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-16T13:20:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A30",
      "60J05"
    ],
    "keywords": [
      "e-property",
      "asymptotically stable markov-feller operator possesses",
      "meagre set",
      "equivalent criterion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}