{
  "id": "1310.7431",
  "version": "v2",
  "published": "2013-10-28T14:33:32.000Z",
  "updated": "2017-05-05T12:08:51.000Z",
  "title": "Arratia flow with drift and the Trotter formula for Brownian web",
  "authors": [
    "A. A. Dorogovtsev",
    "M. B. Vovchanskii"
  ],
  "comment": "23 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "An analogue of the Trotter formula for the Arratia flow is presented. For that, perturbations of the Brownian web by mappings associated with an ordinary differential equation with a smooth right part are considered. The existence of the limiting flow is proved by using the fractional step method. The flow obtained is called the Arratia flow with a drift. Also small-time asymptotics of mathematical expectations of sizes of clusters in an Arratia flow with a drift are studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-28T14:33:32.000Z",
      "comment": "22 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-05-05T12:08:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arratia flow",
      "brownian web",
      "trotter formula",
      "fractional step method",
      "ordinary differential equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7431D"
    }
  }
}