İstanbul Analiz Seminerleri
Dynamic rays and landing behaviors
Aslı Deniz
İzmir University of Economics, Türkiye
Dynamic rays are curves consisting of points which escape 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.
