{
  "id": "math/0408011",
  "version": "v2",
  "published": "2004-08-02T01:52:08.000Z",
  "updated": "2005-09-28T18:48:45.000Z",
  "title": "Combinatorics of Bifurcations in Exponential Parameter Space",
  "authors": [
    "Lasse Rempe",
    "Dierk Schleicher"
  ],
  "comment": "48 pages, 5 figures. V2: The article (particularly Section 6 and 7) was revised to improve the exposition; some figures were added. This may have changed the numbers of references to this article in other papers. In this case, please refer to the previous version of the article",
  "journal": "In: Transcendental dynamics and complex analysis. In honour of Noel Baker (Rippon and Stallard, eds); London Mathematical Society Lecture Note Series 348, 317-370 (2008).",
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "We give a complete combinatorial description of the bifurcation structure in the space of exponential maps $z\\mapsto\\exp(z)+\\kappa$. This combinatorial structure is the basis for a number of important results about exponential parameter space. These include the fact that every hyperbolic component has connected boundary, a classification of escaping parameters, and the fact that all dynamic and parameter rays at periodic addresses land.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-28T18:48:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exponential parameter space",
      "combinatorics",
      "complete combinatorial description",
      "periodic addresses land",
      "exponential maps"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8011R"
    }
  }
}