Complex a priori bounds for multicritical circle maps with bounded type rotation number

Autor: Estevez, Gabriela, Smania, Daniel, Yampolsky, Michael
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 15 pages, 6 figures. arXiv admin note: text overlap with arXiv:1909.01451
Databáze: arXiv