{
  "id": "1901.01158",
  "version": "v1",
  "published": "2019-01-03T03:34:14.000Z",
  "updated": "2019-01-03T03:34:14.000Z",
  "title": "Continued Fractions and Generalizations with Many Limits: A Survey",
  "authors": [
    "Douglas Bowman",
    "James Mc Laughlin"
  ],
  "comment": "20 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:0709.1909, arXiv:math/0403027",
  "journal": "Diophantine analysis and related fields 2006, 19-38, Sem. Math. Sci., 35, Keio Univ., Yokohama, 2006",
  "categories": [
    "math.NT"
  ],
  "abstract": "There are infinite processes (matrix products, continued fractions, $(r,s)$-matrix continued fractions, recurrence sequences) which, under certain circumstances, do not converge but instead diverge in a very predictable way. We give a survey of results in this area, focusing on recent results of the authors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-03T03:34:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "40A15",
      "11A55"
    ],
    "keywords": [
      "generalizations",
      "infinite processes",
      "recurrence sequences",
      "matrix products",
      "matrix continued fractions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}