{
  "id": "2406.04580",
  "version": "v1",
  "published": "2024-06-07T01:50:08.000Z",
  "updated": "2024-06-07T01:50:08.000Z",
  "title": "A study guide for \"On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane\" after T. Orponen and P. Shmerkin",
  "authors": [
    "Jacob B. Fiedler",
    "Guo-Dong Hong",
    "Donggeun Ryou",
    "Shukun Wu"
  ],
  "comment": "23 pages, 5 figures, Study guide written at the UPenn Study Guide Writing Workshop 2023",
  "categories": [
    "math.CA",
    "math.CO",
    "math.MG"
  ],
  "abstract": "This article is a study guide for ``On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane\" by Orponen and Shmerkin. We begin by introducing Furstenberg set problem and exceptional set of projections and provide a summary of the proof with the core ideas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-07T01:50:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "28A80",
      "28A75",
      "28A78"
    ],
    "keywords": [
      "hausdorff dimension",
      "orthogonal projections",
      "study guide",
      "introducing furstenberg set problem",
      "exceptional set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}