{
  "id": "math/0505097",
  "version": "v1",
  "published": "2005-05-06T07:39:10.000Z",
  "updated": "2005-05-06T07:39:10.000Z",
  "title": "Parameter rays for the exponential family",
  "authors": [
    "Markus Förster",
    "Dierk Schleicher"
  ],
  "comment": "31 pages, 4 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We investigate the set of parameters $\\kappa\\in\\C$ for which the singular orbit $(0,e^{\\kappa},...)$ of $E_{\\kappa}(z):=\\exp(z+\\kappa)$ converges to $\\infty$. These parameters are organized in smooth curves in parameter space called \\emph{parameter rays}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-05-06T07:39:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10",
      "37F45"
    ],
    "keywords": [
      "parameter rays",
      "exponential family",
      "parameter space",
      "smooth curves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5097F"
    }
  }
}