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

Published 4 May 2020 in math.DS | (2005.02377v1)

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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