{
  "id": "1805.07503",
  "version": "v1",
  "published": "2018-05-19T03:30:14.000Z",
  "updated": "2018-05-19T03:30:14.000Z",
  "title": "Positive Entropy Through Pointwise Dynamics",
  "authors": [
    "A. Arbieto",
    "E. Rego"
  ],
  "comment": "8 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We define some pointwise properties of topological dynamical systems and give pointwise conditions for such a system possesses positive topological entropy. We give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-19T03:30:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B40"
    ],
    "keywords": [
      "pointwise dynamics",
      "positive entropy",
      "system possesses positive topological entropy",
      "uniform way",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}