{
  "id": "2211.02258",
  "version": "v1",
  "published": "2022-11-04T04:25:54.000Z",
  "updated": "2022-11-04T04:25:54.000Z",
  "title": "Brownian path preserving mappings on the Heisenberg group",
  "authors": [
    "Nikita Evseev"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR",
    "math.CA",
    "math.MG"
  ],
  "abstract": "We study continuous mappings on the Heisenberg group that up to a time change preserve horizontal Brownian motion. It is proved that only harmonic morphisms possess this property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-04T04:25:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brownian path preserving mappings",
      "heisenberg group",
      "change preserve horizontal brownian motion",
      "time change preserve horizontal brownian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}