{
  "id": "2406.07713",
  "version": "v1",
  "published": "2024-06-11T20:47:27.000Z",
  "updated": "2024-06-11T20:47:27.000Z",
  "title": "Almost surely smoothed scattering for cubic NLS",
  "authors": [
    "Nicolas Burq",
    "Herbert Koch",
    "Nicola Visciglia",
    "Nikolay Tzvetkov"
  ],
  "comment": "23 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider cubic NLS in dimensions 2, 3, 4 and we prove that almost surely solutions with randomized initial data at low regularity scatter. Moreover, we establish some smoothing properties of the associated scattering operator and precise the rate of convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-11T20:47:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35R60"
    ],
    "keywords": [
      "cubic nls",
      "surely smoothed scattering",
      "low regularity scatter",
      "randomized initial data",
      "dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}