{
  "id": "1412.7845",
  "version": "v1",
  "published": "2014-12-25T17:43:26.000Z",
  "updated": "2014-12-25T17:43:26.000Z",
  "title": "A three-series theorem on Lie groups",
  "authors": [
    "Ming Liao"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "We obtain a necessary and sufficient condition for the convergence of independent products on Lie groups, as a natural extension of Kolmogorov's three-series theorem. Application to independent random matrices is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-25T17:43:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60B15"
    ],
    "keywords": [
      "lie groups",
      "kolmogorovs three-series theorem",
      "independent random matrices",
      "sufficient condition",
      "natural extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.7845L"
    }
  }
}