{
  "id": "1210.5865",
  "version": "v1",
  "published": "2012-10-22T10:49:55.000Z",
  "updated": "2012-10-22T10:49:55.000Z",
  "title": "Scaling limit for the random walk on the largest connected component of the critical random graph",
  "authors": [
    "David A. Croydon"
  ],
  "journal": "Publications of the Research Institute for Mathematical Sciences 48 (2012), no. 2, 279-338",
  "categories": [
    "math.PR"
  ],
  "abstract": "A scaling limit for the simple random walk on the largest connected component of the Erdos-Renyi random graph in the critical window is deduced. The limiting diffusion is constructed using resistance form techniques, and is shown to satisfy the same quenched short-time heat kernel asymptotics as the Brownian motion on the continuum random tree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-22T10:49:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "largest connected component",
      "critical random graph",
      "random walk",
      "scaling limit",
      "quenched short-time heat kernel asymptotics"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.5865C"
    }
  }
}