{
  "id": "2404.01795",
  "version": "v1",
  "published": "2024-04-02T09:56:04.000Z",
  "updated": "2024-04-02T09:56:04.000Z",
  "title": "Long Time Propagation of Chaos in Total Variation Distance for Mean Field Interacting Particle System",
  "authors": [
    "Xing Huang",
    "Fen-Fen Yang",
    "Chenggui Yuan"
  ],
  "comment": "27 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, a general result on the long time quantitative propagation of chaos in total variation distance for mean field interacting particle system driven by general L\\'{e}vy noise is derived, where the non-interacting drift is assumed to be dissipative in long distance and the initial distribution of interacting particle system converges to that of the limit equation in $L^1$-Wasserstein distance. Moreover, by using the method of coupling, the results are applied to mean field interacting particle system driven by Brownian motion and $\\alpha(\\alpha>1)$-stable noise respectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-02T09:56:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean field interacting particle system",
      "total variation distance",
      "long time propagation",
      "field interacting particle system driven"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}