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Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
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 C1+α\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$C^{1+\alpha }$$\end{document} rigid.
"Bulletin of the Brazilian Mathematical Society, New Series" – Springer Journals
Published: Sep 1, 2022
Keywords: Renormalization; Multicritical critical circle maps; Complex bounds; Real bounds; Rigidity; Primary 37E10 Secondary 37E20; 37F25
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