{
  "id": "1111.2419",
  "version": "v1",
  "published": "2011-11-10T08:28:16.000Z",
  "updated": "2011-11-10T08:28:16.000Z",
  "title": "Non-uniqueness of ergodic measures with full Hausdorff dimension on a Gatzouras-Lalley carpet",
  "authors": [
    "Julien Barral",
    "De-Jun Feng"
  ],
  "journal": "Nonlinearity 24 (2011), 2563-2567",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "In this note, we show that on certain Gatzouras-Lalley carpet, there exist more than one ergodic measures with full Hausdorff dimension. This gives a negative answer to a conjecture of Gatzouras and Peres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-10T08:28:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "full hausdorff dimension",
      "ergodic measures",
      "gatzouras-lalley carpet",
      "non-uniqueness"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/24/9/010",
      "journal": "Nonlinearity",
      "year": 2011,
      "month": "Sep",
      "volume": 24,
      "number": 9,
      "pages": 2563
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011Nonli..24.2563B"
    }
  }
}