{
  "id": "2411.04248",
  "version": "v1",
  "published": "2024-11-06T20:41:22.000Z",
  "updated": "2024-11-06T20:41:22.000Z",
  "title": "Maximal $Λ(p)$-subsets of manifolds",
  "authors": [
    "Ciprian Demeter",
    "Hongki Jung",
    "Donggeun Ryou"
  ],
  "categories": [
    "math.CA",
    "math.PR"
  ],
  "abstract": "We construct maximal $\\Lambda(p)$-subsets on a large class of curved manifolds, in an optimal range of Lebesgue exponents $p$. Our arguments combine restriction estimates and decoupling with old and new probabilistic estimates.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-06T20:41:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "construct maximal",
      "restriction estimates",
      "large class",
      "lebesgue exponents",
      "probabilistic estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}