000K  utf8
1100  $c2003
1500  eng
2050  urn:nbn:de:gbv:8-diss-7816
3000  Rempe, Lasse
4000  Dynamics of exponential maps$hChristian-Albrechts-Universität zu Kiel  [Rempe, Lasse]
4030  Kiel$nChristian-Albrechts-Universität zu Kiel
4209  This thesis contains several new results about the dynamics of exponential maps $z\mapsto \exp(z)+\kappa$. In particular, we prove that periodic external rays of exponential maps with nonescaping singular value always land. This is an analog of a theorem of Douady and Hubbard for polynomials. We also answer a question of Herman, Baker and Rippon by showing that the boundary of an unbounded exponential Siegel disk always contains the singular value. In addition to the presentation of new results, the thesis also aims to give an overview of the current state of knowledge on the dynamics of exponential maps.
4950  https://nbn-resolving.org/urn:nbn:de:gbv:8-diss-7816$xR$3Volltext$534
4961  https://macau.uni-kiel.de/receive/diss_mods_00000781
5051  510
5550  dynamical systems
5550  dynamische Systeme
5550  Exponentialabbildung
5550  Exponentialabbildungen
5550  exponential maps
5550  function theory
5550  Funktionentheorie
5550  holomorphe Dynamik
5550  holomorphic dynamics
5550  Juliamenge
5550  Julia set