Geometry and Dynamics Seminar

Davoud Cheraghi

(University of Warwick)

"Typical trajectories of quadratic polynomials with positive area Julia sets"


Date: Tue, October 27, 2009
Time: 14:00
Place: Research I Seminar Room

Abstract: In this talk we will describe a renormalization idea developed by Inou and Shishikura to study local analytic dynamics near fixed points with high return times. As an application we explain how one can use this idea to describe the typical trajectories on the positive area Julia sets with high return times.