{
  "id": "1912.04584",
  "version": "v1",
  "published": "2019-12-10T09:07:11.000Z",
  "updated": "2019-12-10T09:07:11.000Z",
  "title": "Expansion for the critical point of site percolation: the first three terms",
  "authors": [
    "Markus Heydenreich",
    "Kilian Matzke"
  ],
  "comment": "22 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We expand the critical point for site percolation on the $d$-dimensional hypercubic lattice in terms of inverse powers of $2d$, and we obtain the first three terms rigorously. This is achieved using the lace expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-10T09:07:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B43"
    ],
    "keywords": [
      "site percolation",
      "critical point",
      "dimensional hypercubic lattice",
      "lace expansion",
      "inverse powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}