{
  "id": "1405.7784",
  "version": "v1",
  "published": "2014-05-30T06:57:54.000Z",
  "updated": "2014-05-30T06:57:54.000Z",
  "title": "Indecomposable continua in exponential dynamics-Hausdorff dimension",
  "authors": [
    "Lukasz Pawelec",
    "Anna Zdunik"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study some forward invariant sets appearing in the dynamics of the exponential family. We prove that the Hausdorff dimension of the sets under consideration is not larger than $1$. This allows us to prove, as a consequence, a result for some dynamically defined indecomposable continua which appear in the dynamics of the exponential family. We prove that the Hausdorff dimension of these continua is equal to one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-30T06:57:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F35",
      "37B45"
    ],
    "keywords": [
      "exponential dynamics-hausdorff dimension",
      "indecomposable continua",
      "exponential family",
      "consequence",
      "forward invariant sets appearing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.7784P"
    }
  }
}