Complex a priori bounds for multicritical circle maps with bounded type rotation number
Gabriela Estevez, Daniel Smania, Michael Yampolsky
Published: 2020/5/4
Abstract
In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an application, we get that bi-cubic circle maps with same bounded type rotation number are $C^{1+\alpha}$ rigid.