{
  "id": "math/9902116",
  "version": "v1",
  "published": "1999-02-19T19:06:18.000Z",
  "updated": "1999-02-19T19:06:18.000Z",
  "title": "Trees, not cubes: hypercontractivity, cosiness, and noise stability",
  "authors": [
    "Oded Schramm",
    "Boris Tsirelson"
  ],
  "comment": "13 pages, 3 figures, LaTeX2e",
  "journal": "Electron.Commun.Probab.4:39-49,1999",
  "categories": [
    "math.PR"
  ],
  "abstract": "Noise sensitivity of functions on the leaves of a binary tree is studied, and a hypercontractive inequality is obtained. We deduce that the spider walk is not noise stable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-02-19T19:06:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G42",
      "05C05",
      "60C05",
      "60Hxx",
      "60J10"
    ],
    "keywords": [
      "noise stability",
      "hypercontractivity",
      "noise sensitivity",
      "binary tree"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1214/ECP.v4-1004"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 522080,
      "adsabs": "1999math......2116S"
    }
  }
}