Gluing polynomials along the circle
Dynamical Systems
2025-11-20 v2
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.
Keywords
Cite
@article{arxiv.2511.10042,
title = {Gluing polynomials along the circle},
author = {Panjing Wu and Gaofei Zhang},
journal= {arXiv preprint arXiv:2511.10042},
year = {2025}
}