|Date:||Tue, February 21, 2017|
|Place:||Research I Seminar Room|
Abstract: We accomplish the proof of the theorem stated during the previous seminar talk. After that we give an outline of a proof that every bounded type entire function supports no invariant line fields on its escaping set. For the case of topologically conjugate entire functions with finitely many singular values we prove that restriction of topological conjugacy on any orbit of escaping point extends to a quasiconformal homeomorphism of the plane.