{
  "id": "1110.6011",
  "version": "v2",
  "published": "2011-10-27T08:46:32.000Z",
  "updated": "2012-09-26T12:25:02.000Z",
  "title": "Dimension, entropy, and the local distribution of measures",
  "authors": [
    "Tuomas Sahlsten",
    "Pablo Shmerkin",
    "Ville Suomala"
  ],
  "comment": "v2: 23 pages, 6 figures. Updated references. Accepted to J. London Math. Soc",
  "doi": "10.1112/jlms/jds043",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We present a general approach to the study of the local distribution of measures on Euclidean spaces, based on local entropy averages. As concrete applications, we unify, generalize, and simplify a number of recent results on local homogeneity, porosity and conical densities of measures.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-26T12:25:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "28D20"
    ],
    "keywords": [
      "local distribution",
      "local entropy averages",
      "general approach",
      "concrete applications",
      "euclidean spaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.6011S"
    }
  }
}