Times: 2026 Mar 11 from 04:50PM to 05:20PM (Central Time (US & Canada))
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.
Notes:
This talk is based on my PhD thesis Theorem C, which is available on my website https://rickysiman.wordpress.com/my-phd-thesis/