paper

A rigidity result for some parabolic germs

arXiv:1609.09465 · doi:10.1512/iumj.2018.67.7459

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.

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