{
  "id": "1903.09018",
  "version": "v1",
  "published": "2019-03-21T14:15:23.000Z",
  "updated": "2019-03-21T14:15:23.000Z",
  "title": "Duality for coalescing stochastic flows on the real line",
  "authors": [
    "Georgii V. Riabov"
  ],
  "categories": [
    "math.PR",
    "math.DS"
  ],
  "abstract": "For a class of coalescing stochastic flows on the real line the existence of dual flows is proved. A stochastic flow and its dual are constructed as a forward and backward perfect cocycles over the same metric dynamical system. The metric dynamical system itself is defined on a new state space for coalescing flows. General results are applied to Arratia flows with drift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-21T14:15:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coalescing stochastic flows",
      "real line",
      "metric dynamical system",
      "arratia flows",
      "state space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}