{
  "id": "1509.01153",
  "version": "v1",
  "published": "2015-09-03T16:37:55.000Z",
  "updated": "2015-09-03T16:37:55.000Z",
  "title": "Recurrent orbits of subgroups of local complex analytic diffeomorphisms",
  "authors": [
    "Javier Ribón"
  ],
  "comment": "38",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We show recurrent phenomena for orbits of groups of local complex analytic diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non-virtually solvable. In particular we prove that a non-virtually solvable subgroup of local biholomorphisms has always recurrent orbits, i.e. there exists an orbit contained in its set of limit points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-03T16:37:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F75",
      "20F16",
      "20F14",
      "32H50"
    ],
    "keywords": [
      "local complex analytic diffeomorphisms",
      "recurrent orbits",
      "recurrent phenomena",
      "limit points",
      "local biholomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}