{
  "id": "1801.06468",
  "version": "v1",
  "published": "2018-01-19T15:48:11.000Z",
  "updated": "2018-01-19T15:48:11.000Z",
  "title": "Projections of Gibbs measures on self-conformal sets in the plane",
  "authors": [
    "Catherine Bruce",
    "Xiong Jin"
  ],
  "comment": "13 pages, 0 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that for Gibbs measures on self-conformal sets in the plane satisfying certain minimal assumptions, without requiring any separation condition, the Hausdorff dimension of orthogonal projections to one-dimensional subspaces is the same and is equal to the maximum possible value in all directions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-19T15:48:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "37F35"
    ],
    "keywords": [
      "self-conformal sets",
      "gibbs measures",
      "separation condition",
      "minimal assumptions",
      "hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}