{
  "id": "math/0005062",
  "version": "v1",
  "published": "2000-05-06T20:27:15.000Z",
  "updated": "2000-05-06T20:27:15.000Z",
  "title": "Linear repetitivity, I. Uniform subadditive ergodic theorems and applications",
  "authors": [
    "David Damanik",
    "Daniel Lenz"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP"
  ],
  "abstract": "This paper is concerned with the concept of linear repetitivity in the theory of tilings. We prove a general uniform subadditive ergodic theorem for linearly repetitive tilings. This theorem unifies and extends various known (sub)additive ergodic theorems on tilings. The results of this paper can be applied in the study of both random operators and lattice gas models on tilings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-06T20:27:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C23",
      "37A30",
      "37B50"
    ],
    "keywords": [
      "linear repetitivity",
      "general uniform subadditive ergodic theorem",
      "applications",
      "lattice gas models",
      "theorem unifies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}