"An Application of Hyperbolic Metric at Transcendental Dynamics"
University of Barcelona (Spain),
Roskilde University (Denmak)
Abstract: In transcendental dynamics, dynamic rays are curves in the Julia set escaping to infinity under forward iterates. Understanding the landing behaviors of dynamic rays is essential in the study of the topological structure of the Julia set. In this talk, we present a landing theorem for periodic dynamic rays for transcendental entire maps which have bounded post singular sets. Our main tools are contraction principles in hyperbolic geometry, namely, Schwarz-Pick's Lemma.
Date: Wednesday, December 18, 2013
Time: 15.40 – 16:30
Place: Mathematics Seminar Room, SA-141
Tea and cookies will be served after the seminar.