{
  "id": "1411.6099",
  "version": "v1",
  "published": "2014-11-22T08:32:05.000Z",
  "updated": "2014-11-22T08:32:05.000Z",
  "title": "Unified representation of formulas for single birth processes",
  "authors": [
    "Mu-Fa Chen",
    "Yu-Hui Zhang"
  ],
  "comment": "Some modifications are made in this version",
  "journal": "Front. Math. China 2014, 9(4): 761--796",
  "categories": [
    "math.PR"
  ],
  "abstract": "Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems (including uniqueness, recurrence, ergodicity, exponential ergodicity, strong ergodicity, as well as extinction probability etc.) for the processes are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-22T08:32:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J60"
    ],
    "keywords": [
      "single birth processes",
      "unified representation",
      "poisson equation",
      "explicit representation",
      "exponential ergodicity"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6099C"
    }
  }
}