{
  "id": "1308.2183",
  "version": "v2",
  "published": "2013-08-09T16:56:37.000Z",
  "updated": "2015-06-19T06:49:15.000Z",
  "title": "On meteors, earthworms and WIMPs",
  "authors": [
    "Sara Billey",
    "Krzysztof Burdzy",
    "Soumik Pal",
    "Bruce E. Sagan"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/14-AAP1035 in the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Applied Probability 2015, Vol. 25, No. 4, 1729-1779",
  "doi": "10.1214/14-AAP1035",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study a model of mass redistribution on a finite graph. We address the questions of convergence to equilibrium and the rate of convergence. We present theorems on the distribution of empty sites and the distribution of mass at a fixed vertex. These distributions are related to random permutations with certain peak sets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-09T16:56:37.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-19T06:49:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "earthworms",
      "finite graph",
      "peak sets",
      "mass redistribution",
      "empty sites"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2183B"
    }
  }
}