{
  "id": "0712.0958",
  "version": "v2",
  "published": "2007-12-06T15:14:18.000Z",
  "updated": "2008-05-20T02:32:03.000Z",
  "title": "What is the difference between a square and a triangle?",
  "authors": [
    "V. Limic",
    "P. Tarres"
  ],
  "comment": "18 pages, 1 figure",
  "categories": [
    "math.PR"
  ],
  "abstract": "We offer a reader-friendly introduction to the attracting edge problem (also known as the \"triangle conjecture\") and its most general current solution of Limic and Tarr\\`es (2007). Little original research is reported; rather this article ``zooms in'' to describe the essential characteristics of two different techniques/approaches verifying the almost sure existence of the attracting edge for the strongly edge reinforced random walk (SERRW) on a square. Both arguments extend straightforwardly to the SERRW on even cycles. Finally, we show that the case where the underlying graph is a triangle cannot be studied by a simple modification of either of the two techniques.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-20T02:32:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G50",
      "60J10",
      "60K35"
    ],
    "keywords": [
      "difference",
      "general current solution",
      "little original research",
      "strongly edge reinforced random walk",
      "essential characteristics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0958L"
    }
  }
}