{
  "id": "2306.07546",
  "version": "v1",
  "published": "2023-06-13T05:37:11.000Z",
  "updated": "2023-06-13T05:37:11.000Z",
  "title": "Quasi-stationary distributions for time-changed symmetric $α$-stable processes killed upon hitting zero",
  "authors": [
    "Zhe-Kang Fang",
    "Yong-Hua Mao",
    "Tao Wang"
  ],
  "comment": "19pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "For a time-changed symmetric $\\alpha$-stable process killed upon hitting zero, under the condition of entrance from infinity, we prove the existence and uniqueness of quasi-stationary distribution (QSD). The exponential convergence to the QSD from any initial distribution is proved under conditions on transition densities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-13T05:37:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quasi-stationary distribution",
      "stable process",
      "hitting zero",
      "time-changed symmetric",
      "transition densities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}