{
  "id": "1907.05751",
  "version": "v1",
  "published": "2019-07-12T14:02:49.000Z",
  "updated": "2019-07-12T14:02:49.000Z",
  "title": "On substitutions closed under derivation: examples",
  "authors": [
    "Václav Košík",
    "Štěpán Starosta"
  ],
  "comment": "10 pages, 1 figures, submitted to Words 2019",
  "categories": [
    "math.CO",
    "cs.FL"
  ],
  "abstract": "We study infinite words fixed by a morphism and their derived words. A derived word is a coding of return words to a factor. We exhibit two examples of sets of morphisms which are closed under derivation --- any derived word with respect to any factor of the fixed point is again fixed by a morphism from this set. The first example involves standard episturmian morphisms, and the second concerns the period doubling morphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-12T14:02:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "68R15"
    ],
    "keywords": [
      "derivation",
      "derived word",
      "substitutions",
      "study infinite words",
      "standard episturmian morphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}