{
  "id": "1307.7222",
  "version": "v1",
  "published": "2013-07-27T07:07:40.000Z",
  "updated": "2013-07-27T07:07:40.000Z",
  "title": "Incipient infinite cluster in 2D Ising percolation",
  "authors": [
    "Yasunari Higuchi",
    "Kazunari Kinoshita",
    "Masato Takei",
    "Yu Zhang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the percolation problem in the high-temperature Ising model on the two-dimensional square lattice at or near critical external fields. The incipient infinite cluster (IIC) measure in the sense of Kesten is constructed. As a consequence, we can obtain some geometric properties of IIC. The result holds also for the triangular lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-27T07:07:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "incipient infinite cluster",
      "2d ising percolation",
      "two-dimensional square lattice",
      "result holds",
      "geometric properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.7222H"
    }
  }
}