{
  "id": "math/0204277",
  "version": "v2",
  "published": "2002-04-23T15:51:23.000Z",
  "updated": "2002-04-26T15:47:15.000Z",
  "title": "On the scaling limit of planar self-avoiding walk",
  "authors": [
    "Gregory F. Lawler",
    "Oded Schramm",
    "Wendelin Werner"
  ],
  "journal": "Fractal geometry and applications: a jubilee of Beno\\^it Mandelbrot, Part 2, 339--364, Proc. Sympos. Pure Math., 72, Part 2, Amer. Math. Soc., Providence, RI, 2004",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A planar self-avoiding walk (SAW) is a nearest neighbor random walk path in the square lattice with no self-intersection. A planar self-avoiding polygon (SAP) is a loop with no self-intersection. In this paper we present conjectures for the scaling limit of the uniform measures on these objects. The conjectures are based on recent results on the stochastic Loewner evolution and non-disconnecting Brownian motions. New heuristic derivations are given for the critical exponents for SAWs and SAPs.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-04-26T15:47:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B41"
    ],
    "keywords": [
      "planar self-avoiding walk",
      "scaling limit",
      "nearest neighbor random walk path",
      "stochastic loewner evolution",
      "heuristic derivations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 610524,
      "adsabs": "2002math......4277L"
    }
  }
}