Dynamics of exponential maps

Doctoral thesis English OPEN
Rempe, Lasse;
  • Subject: Faculty of Mathematics and Natural Sciences | Exponentialabbildung , dynamical systems, dynamische Systeme, function theory, Funktionentheorie, holomorphic dynamics, holomorphe Dynamik, exponential maps, Exponentialabbildungen, Julia set, Juliamenge | Mathematisch-Naturwissenschaftliche Fakultät
    • ddc: ddc:510
    arxiv: Mathematics::Dynamical Systems

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 H... View more
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