{
  "id": "1604.03055",
  "version": "v1",
  "published": "2016-04-11T18:30:58.000Z",
  "updated": "2016-04-11T18:30:58.000Z",
  "title": "Uniform approximation of FKPP equation by stochastic particle systems",
  "authors": [
    "Franco Flandoli",
    "Matti Leimbach",
    "Christian Olivera"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we consider a system of Brownian particles with proliferation whose rate depends on the empirical measure. The dependence is more local than a mean field one and has been called moderate interaction by Oelschl\\\"{a}ger [15], [16]. We prove that the empirical process converges, uniformly in the space variable, to the solution of the Fisher-Kolmogorov-Petrowskii-Piskunov equation. We use a semigroup approach which is new in the framework of these systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-11T18:30:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "stochastic particle systems",
      "fkpp equation",
      "uniform approximation",
      "brownian particles",
      "mean field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160403055F"
    }
  }
}