{
  "id": "1604.08272",
  "version": "v1",
  "published": "2016-04-28T00:20:19.000Z",
  "updated": "2016-04-28T00:20:19.000Z",
  "title": "Dynamics of endomorphisms of Lie groups and their topological entropy",
  "authors": [
    "Victor Ayala",
    "Adriano Da Silva"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For a given endomorphism {\\phi} of a connected Lie group G this paper studies subgroups of G that are intrinsically connected with the dynamical properties of {\\phi}. We show that all the information given by the topological entropy of {\\phi} is contained in the toral part of the unstable subgroup of {\\phi} in G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-28T00:20:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological entropy",
      "endomorphism",
      "paper studies subgroups",
      "toral part",
      "connected lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408272A"
    }
  }
}