{
  "id": "1609.01138",
  "version": "v1",
  "published": "2016-09-05T13:08:47.000Z",
  "updated": "2016-09-05T13:08:47.000Z",
  "title": "STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of Convergence",
  "authors": [
    "Servet Martínez",
    "Werner Nagel"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider homogeneous STIT tessellations in the $\\ell$-dimensional Euclidean space ${\\mathbb R}^\\ell$. Based on results for the spatial $\\beta$-mixing coefficient an upper bound for the variance of additive functionals of tessellations is derived, using results by Yoshihara and Heinrich. Moreover, ergodic theorems are applied to subadditive functionals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-05T13:08:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "60J25",
      "60J75",
      "37A25"
    ],
    "keywords": [
      "ergodic limit theorems",
      "convergence",
      "dimensional euclidean space",
      "functionals",
      "ergodic theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}