{
  "id": "math/0505533",
  "version": "v3",
  "published": "2005-05-25T09:02:09.000Z",
  "updated": "2005-11-02T14:35:21.000Z",
  "title": "Spectral gap estimates for interacting particle systems via a Bochner-type identity",
  "authors": [
    "Anne-Severine Boudou",
    "Pietro Caputo",
    "Paolo Dai Pra",
    "Gustavo Posta"
  ],
  "journal": "J. Funct. Anal. 232 (2006), no. 1, 222-258",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We develop a general technique, based on a Bochner-type identity, to estimate spectral gaps of a class of Markov operator. We apply this technique to various interacting particle systems. In particular, we give a simple and short proof of the diffusive scaling of the spectral gap of the Kawasaki model at high temperature. Similar results are derived for Kawasaki-type dynamics in the lattice without exclusion, and in the continuum. New estimates for Glauber-type dynamics are also obtained.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-11-02T14:35:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82C22"
    ],
    "keywords": [
      "interacting particle systems",
      "spectral gap estimates",
      "bochner-type identity",
      "estimate spectral gaps",
      "glauber-type dynamics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5533B"
    }
  }
}