{
  "id": "2301.13478",
  "version": "v1",
  "published": "2023-01-31T08:58:19.000Z",
  "updated": "2023-01-31T08:58:19.000Z",
  "title": "A survey on the Hausdorff dimension of intersections",
  "authors": [
    "Pertti Mattila"
  ],
  "comment": "This survey is based on the talk I gave in Karoly Simon's 60+1 birthday conference in Budapest in June 2022",
  "categories": [
    "math.CA"
  ],
  "abstract": "Let $A$ and $B$ be Borel subsets of the Euclidean $n$-space with $\\dim A + \\dim B > n$. This is a survey on the question: what can we say about the Hausdorff dimension of the intersections $A\\cap (g(B)+z)$ for generic orthogonal transformations $g$ and translations by $z$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-31T08:58:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hausdorff dimension",
      "intersections",
      "generic orthogonal transformations",
      "borel subsets"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}