{
  "id": "1509.08415",
  "version": "v1",
  "published": "2015-09-28T18:07:39.000Z",
  "updated": "2015-09-28T18:07:39.000Z",
  "title": "The specification property on a set-valued map and its inverse limit",
  "authors": [
    "Brian Raines",
    "Tim Tennant"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper we consider dynamical properties of set-valued mappings and their implications on the associated inverse limit space. Specifically, we define the specification property and topological entropy for set-valued functions and prove some elementary results of these properties. We end with a few results regarding invariant measures for set-valued functions and their associated inverse limits.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-28T18:07:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "specification property",
      "set-valued map",
      "set-valued functions",
      "associated inverse limit space",
      "results regarding invariant measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150908415R"
    }
  }
}