{
  "id": "1103.3722",
  "version": "v4",
  "published": "2011-03-18T22:28:16.000Z",
  "updated": "2012-06-12T13:09:14.000Z",
  "title": "Scaling limits of additive functionals of interacting particle systems",
  "authors": [
    "Patricia Gonçalves",
    "Milton Jara"
  ],
  "comment": "24 pages, no figures, accepted for publication in \"Communications on Pure and Applied Mathematics\"",
  "journal": "Communications on Pure and Applied Mathematics, Volume 66, Issue 5, 649-677 (2013)",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Using the renormalization method introduced in \\cite{GJ}, we prove what we call the {\\em local} Boltzmann-Gibbs principle for conservative, stationary interacting particle systems in dimension $d=1$. As applications of this result, we obtain various scaling limits of additive functionals of particle systems, like the occupation time of a given site or extensive additive fields of the dynamics. As a by-product of these results, we also construct a novel process, related to the stationary solution of the stochastic Burgers equation.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-06-12T13:09:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G60",
      "60F17",
      "35R60"
    ],
    "keywords": [
      "additive functionals",
      "scaling limits",
      "stationary interacting particle systems",
      "stochastic burgers equation",
      "renormalization method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.3722G"
    }
  }
}