Complex a priori bounds for multicritical circle maps with bounded type rotation number
Dynamical Systems
2025-09-18 v1
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 rigid.
Keywords
Cite
@article{arxiv.2005.02377,
title = {Complex a priori bounds for multicritical circle maps with bounded type rotation number},
author = {Gabriela Estevez and Daniel Smania and Michael Yampolsky},
journal= {arXiv preprint arXiv:2005.02377},
year = {2025}
}
Comments
15 pages, 6 figures. arXiv admin note: text overlap with arXiv:1909.01451