{
  "id": "0908.3316",
  "version": "v1",
  "published": "2009-08-23T17:00:24.000Z",
  "updated": "2009-08-23T17:00:24.000Z",
  "title": "Semigroups of real functions with dense orbits",
  "authors": [
    "Mohammad Javaheri"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Let ${\\mathcal F}_I=\\{f:I \\to I| f(x)= (Ax+B)/(Cx+D); AD-BC \\neq 0 \\}$, where $I$ is an interval. For $x\\in I$, let ${\\Omega}_x$ be the orbit of $x$ under the action of the semigroup of functions generated by $f,g \\in {\\mathcal F}_I$. Our main result in this paper is to describe all $f,g \\in {\\mathcal F}_I$ such that $\\Omega_x$ is dense in $I$ for all $x$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-08-23T17:00:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37E05",
      "37B05",
      "26A09"
    ],
    "keywords": [
      "dense orbits",
      "real functions",
      "main result"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0908.3316J"
    }
  }
}