{
  "id": "2404.08868",
  "version": "v1",
  "published": "2024-04-13T01:39:33.000Z",
  "updated": "2024-04-13T01:39:33.000Z",
  "title": "Sticky dispersion on the complete graph: a kinetic approach",
  "authors": [
    "Fei Cao",
    "Sebastien Motsch"
  ],
  "comment": "32 pages, 7 figures",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a variant of the dispersion process on the complete graph introduced in the recent work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to the probabilistic approach taken in [17] and many other related works) thanks to the reinterpretation of the model in terms of a novel econophysics model. Various analytical and quantitative results regarding the large time behaviour of the mean-field dynamics are obtained and supporting numerical illustrations are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-13T01:39:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "82C31",
      "35Q91",
      "91B80"
    ],
    "keywords": [
      "complete graph",
      "kinetic approach",
      "sticky dispersion",
      "probabilistic approach taken",
      "novel econophysics model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}