{
  "id": "math/0311254",
  "version": "v2",
  "published": "2003-11-15T16:49:37.000Z",
  "updated": "2005-04-06T06:27:19.000Z",
  "title": "The Brownian web: Characterization and convergence",
  "authors": [
    "L. R. G. Fontes",
    "M. Isopi",
    "C. M. Newman",
    "K. Ravishankar"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117904000000568 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2004, Vol. 32, No. 4, 2857-2883",
  "doi": "10.1214/009117904000000568",
  "categories": [
    "math.PR"
  ],
  "abstract": "The Brownian web (BW) is the random network formally consisting of the paths of coalescing one-dimensional Brownian motions starting from every space-time point in R\\timesR. We extend the earlier work of Arratia and of Toth and Werner by providing a new characterization which is then used to obtain convergence results for the BW distribution, including convergence of the system of all coalescing random walks to the BW under diffusive space-time scaling.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-06T06:27:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60J65",
      "60F17",
      "82B41",
      "60D05"
    ],
    "keywords": [
      "brownian web",
      "characterization",
      "earlier work",
      "coalescing one-dimensional brownian motions starting",
      "random network"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11254F"
    }
  }
}