{
  "id": "2006.11241",
  "version": "v1",
  "published": "2020-06-19T17:26:15.000Z",
  "updated": "2020-06-19T17:26:15.000Z",
  "title": "A simple convergence proof for the lace expansion",
  "authors": [
    "Gordon Slade"
  ],
  "comment": "An improvement of Section 3 of arXiv:2006.06532v1, which has been divided into two independent papers. 7 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We use the lace expansion to give a simple proof that the critical two-point function for weakly self-avoiding walk on $\\mathbb{Z}^d$ has decay $|x|^{-(d-2)}$ in dimensions $d>4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-19T17:26:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B41",
      "82B27",
      "60K35"
    ],
    "keywords": [
      "simple convergence proof",
      "lace expansion",
      "simple proof",
      "critical two-point function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}