{
  "id": "2109.01331",
  "version": "v1",
  "published": "2021-09-03T06:20:47.000Z",
  "updated": "2021-09-03T06:20:47.000Z",
  "title": "Ergodic convergence rates for time-changed symmetric Lévy processes in dimension one",
  "authors": [
    "Tao Wang"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain the lower bounds for ergodic convergence rates, including spectral gaps and convergence rates in strong ergodicity for time-changed symmetric L\\'{e}vy processes by using harmonic function and reversible measure. As direct applications, explicit sufficient conditions for exponential and strong ergodicity are given. Some examples are also presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-03T06:20:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G51",
      "47A75",
      "35P15"
    ],
    "keywords": [
      "time-changed symmetric lévy processes",
      "ergodic convergence rates",
      "strong ergodicity",
      "explicit sufficient conditions",
      "spectral gaps"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}