{
  "id": "2104.07947",
  "version": "v1",
  "published": "2021-04-16T07:50:20.000Z",
  "updated": "2021-04-16T07:50:20.000Z",
  "title": "Ergodicity and Convergence Rates for Stable Jump Diffusions",
  "authors": [
    "Tao Wang"
  ],
  "comment": "14pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain criteria for exponential ergodicity and strong ergodicity of one-dimensional symmetric $\\alpha$-stable jump diffusions, where $\\alpha\\in(1,2)$. Explicit lower bounds for the ergodic convergence rates are given based on the Green functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-16T07:50:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G52",
      "60G51",
      "47A75",
      "60H20"
    ],
    "keywords": [
      "stable jump diffusions",
      "explicit lower bounds",
      "ergodic convergence rates",
      "one-dimensional symmetric",
      "strong ergodicity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}