{
  "id": "2311.02825",
  "version": "v1",
  "published": "2023-11-06T02:20:59.000Z",
  "updated": "2023-11-06T02:20:59.000Z",
  "title": "Entropy-cost type Propagation of Chaos for Mean Field Interacting Particle System",
  "authors": [
    "Xing Huang"
  ],
  "comment": "19 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, the quantitative entropy-cost type propagation of chaos for mean field interacting particle system is obtained, where the interaction is bounded and the initial distribution of mean field interacting particles converges to that of corresponding McKean-Vlasov SDEs in Wasserstein distance. In the finite dimension case, the interaction is merely assumed to be bounded measurable and the noise can be multiplicative, while for the semi-linear SPDEs, the interaction is required to be bounded and Dini continuous.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-06T02:20:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean field interacting particle system",
      "entropy-cost type propagation",
      "mean field interacting particles converges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}