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Parabolic Implosion via Blaschke Product

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.

Notes:

This talk is based on my PhD thesis Theorem C, which is available on my website https://rickysiman.wordpress.com/my-phd-thesis/

Scheduled for: 2026-03-11 04:50 PM: Dynamics Session #2.3 in Heritage Hall Building 121

Icon: video Webinar

Status: Accepted

Collection: Dynamical Systems

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