English

A rigidity result for some parabolic germs

Dynamical Systems 2021-01-19 v4 Complex Variables

Abstract

The goal of this article is to prove a rigidity result for unicritical polynomials with parabolic cycles. More precisely, we show that if two unicritical polynomials have conformally conjugate parabolic germs, then the polynomials are affinely conjugate.

Keywords

Cite

@article{arxiv.1609.09465,
  title  = {A rigidity result for some parabolic germs},
  author = {Luna Lomonaco and Sabyasachi Mukherjee},
  journal= {arXiv preprint arXiv:1609.09465},
  year   = {2021}
}

Comments

Same as published version

R2 v1 2026-06-22T16:05:47.355Z