Renormalization of bi-cubic circle maps. (English. French summary) Zbl 07908820
Summary: 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.
MSC:
| 37E10 | Dynamical systems involving maps of the circle |
| 37E20 | Universality and renormalization of dynamical systems |
| 37F25 | Renormalization of holomorphic dynamical systems |
References:
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| [19] | Department of Mathematics, University of Toronto, Toronto, ON, Canada M5S 2E4 e-mail: yampol@math.toronto.edu |
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