{
  "id": "math/0603198",
  "version": "v2",
  "published": "2006-03-08T19:52:09.000Z",
  "updated": "2006-03-11T21:38:00.000Z",
  "title": "K-processes, scaling limit and aging for the REM-like trap model",
  "authors": [
    "Luiz Renato Fontes",
    "Pierre Mathieu"
  ],
  "comment": "31 pages",
  "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 REM-like trap model ``at low temperature'', and subsequently derive aging results for those models in this context.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-03-11T21:38:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "60K37",
      "82C44"
    ],
    "keywords": [
      "rem-like trap model",
      "scaling limit",
      "process enters finite sets",
      "state space",
      "single state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3198F"
    }
  }
}