{
  "id": "math/0405161",
  "version": "v3",
  "published": "2004-05-10T02:36:08.000Z",
  "updated": "2006-11-20T10:58:26.000Z",
  "title": "Spectral gap for the zero range process with constant rate",
  "authors": [
    "Ben Morris"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117906000000304 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2006, Vol. 34, No. 5, 1645-1664",
  "doi": "10.1214/009117906000000304",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We solve an open problem concerning the relaxation time (inverse spectral gap) of the zero range process in $\\mathbf {Z}^d/L\\mathbf {Z}^d$ with constant rate, proving a tight upper bound of $O((\\rho +1)^2L^2)$, where $\\rho$ is the density of particles.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2006-11-20T10:58:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "zero range process",
      "constant rate",
      "inverse spectral gap",
      "tight upper bound",
      "relaxation time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5161M"
    }
  }
}