{
  "id": "1704.04930",
  "version": "v1",
  "published": "2017-04-17T11:07:12.000Z",
  "updated": "2017-04-17T11:07:12.000Z",
  "title": "Site Percolation on a Disordered Triangulation of the Square Lattice",
  "authors": [
    "Leonardo T. Rolla"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper we consider independent site percolation in a triangulation of $\\mathbb{R}^2$ given by adding $\\sqrt{2}$-long diagonals to the usual graph $\\mathbb{Z}^2$. We conjecture that $p_c=\\frac{1}{2}$ for any such graph, and prove it for almost every such graph.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-17T11:07:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "square lattice",
      "disordered triangulation",
      "independent site percolation",
      "long diagonals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}