Beau bounds for multicritical circle maps
Dynamical Systems
2020-03-18 v1
Abstract
Let be a homeomorphism without periodic points having a finite number of critical points of power-law type. In this paper we establish real a-priori bounds, on the geometry of orbits of , which are beau in the sense of Sullivan, i.e. bounds that are asymptotically universal at small scales. The proof of the beau bounds presented here is an adaptation, to the multicritical setting, of the one given by the second author and de Melo, for the case of a single critical point.
Cite
@article{arxiv.1611.00722,
title = {Beau bounds for multicritical circle maps},
author = {Gabriela Estevez and Edson de Faria and Pablo Guarino},
journal= {arXiv preprint arXiv:1611.00722},
year = {2020}
}
Comments
Eighteen pages. This work is a continuation of the article arXiv:1511.09056, by the first two authors