{
  "id": "2304.08039",
  "version": "v1",
  "published": "2023-04-17T07:42:22.000Z",
  "updated": "2023-04-17T07:42:22.000Z",
  "title": "The Jacaranda tree is strongly aperiodic and has zero entropy",
  "authors": [
    "Alexandre Baraviera",
    "Renaud Leplaideur"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linearly with respect to the size of the patch. As a consequence we get that the tree has zero entropy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-17T07:42:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zero entropy",
      "jacaranda tree",
      "strongly aperiodic",
      "patches increases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}