Dynamics Seminar

Leticia Pardo Simón

(University of Liverpool)

"Escaping dynamics in the cosine family"

Date: Tue, May 16, 2017
Time: 14:15
Place: Research I Seminar Room

Abstract: It is known that for this family of functions that the escaping set is structured in the form of curves called “rays”. Moreover, it was proven by D. Schleicher that when the postsingular set is strictly preperiodic, all such rays land, and that every point on the complex plane is either on one of these rays or the landing point of a ray. By conjugating to an appropriate topological model, we are able to obtain the same result for certain functions in the cosine family with unbounded postsingular set.