{
  "id": "2411.04157",
  "version": "v1",
  "published": "2024-11-06T10:32:01.000Z",
  "updated": "2024-11-06T10:32:01.000Z",
  "title": "Stochastic homogenization of dynamical discrete optimal transport",
  "authors": [
    "Peter Gladbach",
    "Eva Kopfer"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "The aim of this paper is to examine the large-scale behavior of dynamical optimal transport on stationary random graphs embedded in $\\R^n$. Our primary contribution is a stochastic homogenization result that characterizes the effective behavior of the discrete problems in terms of a continuous optimal transport problem, where the homogenized energy density results from the geometry of the discrete graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-06T10:32:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dynamical discrete optimal transport",
      "homogenized energy density results",
      "stationary random graphs",
      "stochastic homogenization result",
      "continuous optimal transport problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}