{
  "id": "1201.4806",
  "version": "v2",
  "published": "2012-01-23T18:40:51.000Z",
  "updated": "2012-03-17T23:45:07.000Z",
  "title": "Robust Transitivity for Endomorphisms",
  "authors": [
    "Cristina Lizana",
    "Enrique Pujals"
  ],
  "comment": "32 pages, 13 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direction, we give sufficient conditions, that cover a large class of examples, for endomorphisms on the n-dimensional torus to be robustly transitive: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belong to an expanding region.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-17T23:45:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37B05"
    ],
    "keywords": [
      "robust transitivity",
      "endomorphism",
      "dense orbit",
      "sufficient conditions",
      "orbit belong"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}