Gluing polynomials along the circle

Panjing Wu; Gaofei Zhang

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arXiv · 2511.10042

Gluing polynomials along the circle

Panjing Wu·Gaofei Zhang

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Abstract

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.

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Panjing Wu, Gaofei Zhang. 2025-11-19. Gluing polynomials along the circle. https://arxiv.org/abs/2511.10042

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