{
  "id": "1203.2813",
  "version": "v1",
  "published": "2012-03-13T13:52:49.000Z",
  "updated": "2012-03-13T13:52:49.000Z",
  "title": "How behave the typical $L^q$-dimensions of measures?",
  "authors": [
    "Frédéric Bayart"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We compute, for a compact set $K\\subset\\mathbb R^d$, the value of the upper and of the lower $L^q$-dimension of a typical probability measure with support contained in $K$, for any $q\\in\\mathbb R$. Different definitions of the \"dimension\" of $K$ are involved to compute these values, following $q\\in\\mathbb R$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-13T13:52:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact set",
      "typical probability measure",
      "definitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.2813B"
    }
  }
}