{
  "id": "0808.3494",
  "version": "v1",
  "published": "2008-08-26T12:00:51.000Z",
  "updated": "2008-08-26T12:00:51.000Z",
  "title": "K-processes, scaling limit and aging for the trap model in the complete graph",
  "authors": [
    "L. R. G. Fontes",
    "P. Mathieu"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/07-AOP360 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2008, Vol. 36, No. 4, 1322-1358",
  "doi": "10.1214/07-AOP360",
  "categories": [
    "math.PR"
  ],
  "abstract": "We study K-processes, which are Markov processes in a denumerable state space, all of whose elements are stable, with the exception of a single state, starting from which the process enters finite sets of stable states with uniform distribution. We show how these processes arise, in a particular instance, as scaling limits of the trap model in the complete graph, and subsequently derive aging results for those models in this context.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-26T12:00:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37",
      "82C44"
    ],
    "keywords": [
      "complete graph",
      "trap model",
      "scaling limit",
      "process enters finite sets",
      "state space"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.3494F"
    }
  }
}