{
  "id": "math/0202063",
  "version": "v1",
  "published": "2002-02-07T15:43:22.000Z",
  "updated": "2002-02-07T15:43:22.000Z",
  "title": "Gaussian fields and random packing",
  "authors": [
    "Yu. Baryshnikov",
    "J. E. Yukich"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Consider sequential packing of unit balls in a large cube, as in the Renyi car-parking model, but in any dimension and with Poisson input. We show after suitable rescaling that the spatial distribution of packed balls tends to that of a Gaussian field in the thermodynamic limit. We prove analogous results for related applied models, including ballistic deposition and spatial birth-growth models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-07T15:43:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C21",
      "60F05"
    ],
    "keywords": [
      "gaussian field",
      "random packing",
      "spatial birth-growth models",
      "ballistic deposition",
      "large cube"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2063B"
    }
  }
}