{
  "id": "0807.3406",
  "version": "v1",
  "published": "2008-07-22T07:25:31.000Z",
  "updated": "2008-07-22T07:25:31.000Z",
  "title": "A generalization of Cobham's Theorem",
  "authors": [
    "Fabien Durand"
  ],
  "journal": "Theory of Computing Systems 31 (1998) 169-185",
  "categories": [
    "math.CO"
  ],
  "abstract": "If a non-periodic sequence $X$ is the image by a morphism of a fixed point of both a primitive substitution $\\sigma$ and a primitive substitution $\\tau$, then the dominant eigenvalues of the matrices of $\\sigma$ and of $\\tau$ are multiplicatively dependent. This is the way we propose to generalize Cobham's Theorem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-22T07:25:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B85"
    ],
    "keywords": [
      "generalization",
      "primitive substitution",
      "non-periodic sequence",
      "generalize cobhams theorem",
      "dominant eigenvalues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.3406D"
    }
  }
}