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Bibliographic Details
Main Authors: Wu, Panjing, Zhang, Gaofei
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2511.10042
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Table of Contents:
  • Gluing is a cut and paste construction where the dynamics of a map in a given domain is replaced by a different one, under the condition that the two agree along the gluing curve. Here we consider two polynomials with a finite super-attracting fixed point of the same degree. We prove that any two such non-renormalizable polynomials can be glued into a rational map along the Jordan boundary of the immediate basin of the super-attracting fixed point.