Rigidity of critical circle maps
Dynamical Systems
2018-11-14 v1
Abstract
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism. The conjugacy is for Lebesgue almost every rotation number.
Keywords
Cite
@article{arxiv.1511.02792,
title = {Rigidity of critical circle maps},
author = {Pablo Guarino and Marco Martens and Welington de Melo},
journal= {arXiv preprint arXiv:1511.02792},
year = {2018}
}
Comments
46 pages, 5 figures