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Resolving an error with path-tracing and a 2-to-1 mapping in a work of Jang, So, and Marotta

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arxiv 2508.18543 v1 pith:IPYY2CLV submitted 2025-08-25 math.DS

Resolving an error with path-tracing and a 2-to-1 mapping in a work of Jang, So, and Marotta

classification math.DS
keywords errorsjangmainmarottaresultsworkadornedbaby
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We identify two nontrivial errors in the proof of the main results of the work \emph{generalized baby Mandelbrot sets adorned with halos in families of rational maps} by Jang, So, and Marotta. We correct these errors, showing that the main results remain true.

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  1. Paper Fortune Tellers in Julia sets of Generalized McMullen maps II: Sidecars and Zippers

    math.DS 2026-06 unverdicted novelty 4.0

    Generalizes combinatorial models for hyperbolic Julia sets in generalized McMullen maps F(z) = z^n + a/z^n + b to include baby Julia sets from any bulb attached to the main cardioid or principal baby Mandelbrot sets.