{
  "id": "1905.12901",
  "version": "v1",
  "published": "2019-05-30T07:53:55.000Z",
  "updated": "2019-05-30T07:53:55.000Z",
  "title": "Wright-Fisher-type equations for opinion formation, large time behavior and weighted logarithmic-Sobolev inequalities",
  "authors": [
    "Giulia Furioli",
    "Ada Pulvirenti",
    "Elide Terraneo",
    "Giuseppe Toscani"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "physics.soc-ph"
  ],
  "abstract": "We study the rate of convergence to equilibrium of the solution of a Fokker--Planck type equation introduced by one of the authors in 2006 to describe opinion formation in a multi-agent system. The main feature of this Fokker--Planck equation is the presence of a variable diffusion coefficient and boundaries, which introduce new challenging mathematical problems in the study of its long-time behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-30T07:53:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large time behavior",
      "weighted logarithmic-sobolev inequalities",
      "opinion formation",
      "wright-fisher-type equations",
      "fokker-planck type equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}