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Renormalization of Analytic Multicritical Circle Maps with Bounded Type Rotation Numbers

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Author(s):
Estevez, Gabriela ; Smania, Daniel ; Yampolsky, Michael
Total Authors: 3
Document type: Journal article
Source: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. N/A, p. 19-pg., 2022-03-30.
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 C1+alpha rigid. (AU)

FAPESP's process: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems
Grantee:Ali Tahzibi
Support Opportunities: Research Projects - Thematic Grants