{
  "id": "1904.05848",
  "version": "v1",
  "published": "2019-04-11T16:59:57.000Z",
  "updated": "2019-04-11T16:59:57.000Z",
  "title": "Shrinking-Targets for Non-Autonomous Systems",
  "authors": [
    "Marco Antonio López"
  ],
  "comment": "26",
  "categories": [
    "math.DS"
  ],
  "abstract": "In the present work we establish a Bowen-type formula for the Hausdorff dimension of shrinking-target sets for non-autonomous conformal iterated function systems in arbitrary dimensions and satisfying certain conditions. In the case of dimension 1 we also investigate non-linear perturbations of linear systems and obtain sufficient conditions under which the perturbed systems satisfy the conditions in our hypotheses",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-11T16:59:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A99"
    ],
    "keywords": [
      "non-autonomous systems",
      "non-autonomous conformal iterated function systems",
      "arbitrary dimensions",
      "shrinking-target sets",
      "hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}