Blättern Fakultät für Mathematik und Informatik (inkl. GAUSS) nach "Kriete, Hartje PD Dr." Betreuer
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Approximation of Baker domains and convergence of Julia sets.
(2013-05-14)The goal of this thesis is to prove the Hausdorff convergence of Julia sets as we approximate a family of transcendental entire functions featuring a unique Baker domain. At first, we give a dynamical description of the ... -
On the Stability of Julia Sets of Functions having Baker Domains
(2005-01-07)We study the behaviour of Julia sets under perturbation of the underlying functions. We focus on functions whose associated Fatou sets contain Baker domains. In the first chapter we examine ... -
Random Iterations of Subhyperbolic Relaxed Newton's Methods
(2005-04-01)The family of the natural iterations of a subhyperbolic relaxed Newton s method of a complex polynomial devides the Riemann sphere into two disjoint sets: the nonempty, perfect, nowhere ...