Herman's Theory Revisited
Dynamical Systems
2010-07-05 v1
Abstract
We prove that a -smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class , , is -smoothly conjugate to a rigid rotation. We also derive the most precise version of Denjoy's inequality for such diffeomorphisms.
Keywords
Cite
@article{arxiv.0707.0075,
title = {Herman's Theory Revisited},
author = {Konstantin Khanin and Alexey Teplinsky},
journal= {arXiv preprint arXiv:0707.0075},
year = {2010}
}
Comments
10 pages