Subevent of Dynamics Session #2
‟Parabolic Implosion via Blaschke Product” by Ricky Simanjuntak <rsimanju@iu.edu>, Independent Researcher (formerly Indiana University)
Abstract:
Classic theory of Parabolic Implosion deals with perturbation around parabolic point using Lavaurs theory. Here I will present a new approach using perturbation and rescaling limit of Blaschke product.
As a consequence I will show a necessary and sufficient condition for continuity of Julia set around $z^2 + z$, allowing only movement within main hyperbolic component.
Author Notes:
This talk is based on my PhD thesis Theorem C, which is available on my website https://rickysiman.wordpress.com/my-phd-thesis/