{
  "id": "0905.1311",
  "version": "v2",
  "published": "2009-05-08T18:07:11.000Z",
  "updated": "2010-04-09T18:18:03.000Z",
  "title": "Semigroups of matrices with dense orbits",
  "authors": [
    "Mohammad Javaheri"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "We give examples of $n \\times n$ matrices $A$ and $B$ over the filed $\\mathbb{K}=\\mathbb{R}$ or $\\mathbb{C}$ such that for almost every column vector $x \\in \\mathbb{K}^n$, the orbit of $x$ under the action of the semigroup generated by $A$ and $B$ is dense in $\\mathbb{K}^n$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-09T18:18:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B05"
    ],
    "keywords": [
      "dense orbits",
      "column vector"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1311J"
    }
  }
}