Renormalization of bi-cubic circle maps

Abstract

We develop a renormalization theory for analytic homeomorphisms of the circle with two cubic critical points. We prove a renormalization hyperbolicity theorem. As a basis for the proofs, we develop complex a priori bounds for multi-critical circle maps.

Cited by in corpus (2)

• Dynamics of multicritical circle maps
• Quasisymmetric orbit-flexibility of multicritical circle maps