{
  "id": "2210.14710",
  "version": "v1",
  "published": "2022-10-26T13:42:53.000Z",
  "updated": "2022-10-26T13:42:53.000Z",
  "title": "Generators of groups of Hamitonian maps",
  "authors": [
    "Pierre Berger",
    "Dmitry Turaev"
  ],
  "categories": [
    "math.DS",
    "math.SG"
  ],
  "abstract": "We prove that analytic Hamiltonian dynamics on tori, annuli, or Euclidean space can be approximated by a composition of nonlinear shear maps where each of the shears depends only on the position or only on the momentum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-26T13:42:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamitonian maps",
      "generators",
      "analytic hamiltonian dynamics",
      "nonlinear shear maps",
      "euclidean space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}