{
  "id": "2107.03295",
  "version": "v1",
  "published": "2021-07-07T15:29:37.000Z",
  "updated": "2021-07-07T15:29:37.000Z",
  "title": "Rigidity of joinings for time-changes of unipotent flows on quotients of Lorentz groups",
  "authors": [
    "Siyuan Tang"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "Let $u_{X}^{t}$ be a unipotent flow on $X=SO(n,1)/\\Gamma$, $u_{Y}^{t}$ be a unipotent flow on $Y=G/\\Gamma^{\\prime}$. Let $\\tilde{u}_{X}^{t}$, $\\tilde{u}_{Y}^{t}$ be time-changes of $u_{X}^{t}$, $u_{Y}^{t}$ respectively. We show the disjointness (in the sense of Furstenberg) between $u_{X}^{t}$ and $\\tilde{u}_{Y}^{t}$ (or $\\tilde{u}_{X}^{t}$ and $u_{Y}^{t}$) in certain situations. Our method refines the works of Ratner and extends a recent work of Dong, Kanigowski and Wei.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-07T15:29:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unipotent flow",
      "lorentz groups",
      "time-changes",
      "method refines",
      "furstenberg"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}