{
  "id": "0906.4003",
  "version": "v1",
  "published": "2009-06-22T13:34:46.000Z",
  "updated": "2009-06-22T13:34:46.000Z",
  "title": "Heaviness in Symbolic Dynamics: Substitution and Sturmian Systems",
  "authors": [
    "David Ralston"
  ],
  "comment": "14 Pages, to appear in Discrete and Continuous Dynamical Systems",
  "categories": [
    "math.DS"
  ],
  "abstract": "Heaviness refers to a sequence of partial sums maintaining a certain lower bound and was recently introduced and studied in \"Heaviness: and Extension of a Lemma of Y. Peres.\" After a review of basic properties to familiarize the reader with the ideas of heaviness, general principles of heaviness in symbolic dynamics are introduced. The classical Morse sequence is used to study a specific example of heaviness in a system with nontrivial rational eigenvalues. To contrast, Sturmian sequences are examined, including a new condition for a sequence to be Sturmian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-22T13:34:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10"
    ],
    "keywords": [
      "symbolic dynamics",
      "sturmian systems",
      "substitution",
      "nontrivial rational eigenvalues",
      "heaviness refers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4003R"
    }
  }
}