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arXiv · 2005.02377

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

Gabriela Estevez·Daniel Smania·Michael Yampolsky
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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.

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Gabriela Estevez, Daniel Smania, Michael Yampolsky. 2020-05-04. Complex a priori bounds for multicritical circle maps with bounded type rotation number. https://doi.org/10.1007/s00574-022-00295-8

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