{
  "id": "1708.08953",
  "version": "v1",
  "published": "2017-08-29T18:15:11.000Z",
  "updated": "2017-08-29T18:15:11.000Z",
  "title": "Shrinking targets problems for flows on homogeneous spaces",
  "authors": [
    "Dubi Kelmer",
    "Shucheng Yu"
  ],
  "comment": "30 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study shrinking targets problems for discrete time flows on a homogenous space $\\Gamma\\backslash G$ with $G$ a semisimple group and $\\Gamma$ an irreducible lattice. Our results apply to both diagonalizable and unipotent flows, and apply to very general families of shrinking targets. As a special case, we establish logarithm laws for cusp excursions of unipotent flows answering a question of Athreya and Margulis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-29T18:15:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "homogeneous spaces",
      "unipotent flows",
      "discrete time flows",
      "study shrinking targets problems",
      "semisimple group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}