{
  "id": "1508.00464",
  "version": "v1",
  "published": "2015-07-30T09:52:57.000Z",
  "updated": "2015-07-30T09:52:57.000Z",
  "title": "Approximation of symmetrizations by Markov processes",
  "authors": [
    "Justin Dekeyser",
    "Jean Van Schaftingen"
  ],
  "categories": [
    "math.PR",
    "math.FA",
    "math.MG"
  ],
  "abstract": "Under continuity and recurrence assumptions, we prove that the iteration of successive partial symmetrizations that form a time-homogeneous Markov process, converges to a symmetrization. We cover several settings, including the approximation of the spherical nonincreasing rearrangement by Steiner symmetrizations, polarizations and cap symmetrizations. A key tool in our analysis is a quantitative measure of the asymmetry.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-30T09:52:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "47H20",
      "47H40",
      "60J05"
    ],
    "keywords": [
      "approximation",
      "recurrence assumptions",
      "time-homogeneous markov process",
      "successive partial symmetrizations",
      "steiner symmetrizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150800464D"
    }
  }
}