{
  "id": "1606.06783",
  "version": "v1",
  "published": "2016-06-21T21:58:33.000Z",
  "updated": "2016-06-21T21:58:33.000Z",
  "title": "On the uniqueness of an ergodic measure of full dimension for non-conformal repellers",
  "authors": [
    "Nuno Luzia"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a subclass L of Non-linear Lalley-Gatzouras carpets and an open set U in L such that any carpet in U has a unique ergodic measure of full dimension. In particular, any Lalley-Gatzouras carpet which is close to a non-trivial general Sierpinski carpet has a unique ergodic measure of full dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-21T21:58:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "full dimension",
      "non-conformal repellers",
      "unique ergodic measure",
      "uniqueness",
      "non-trivial general sierpinski carpet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}