Renormalization of bi-cubic circle maps
Dynamical Systems
2019-12-10 v3
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.
Cite
@article{arxiv.1909.01451,
title = {Renormalization of bi-cubic circle maps},
author = {Michael Yampolsky},
journal= {arXiv preprint arXiv:1909.01451},
year = {2019}
}