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Dynamical Systems

Dynamics Session #2.3

Subevent of Dynamics Session #2

Heritage Hall Building 121

Times: 2026 Mar 11 from 04:50PM to 05:20PM (Central Time (US & Canada))

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/

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