paper

Herman's Theory Revisited

arXiv:0707.0075 · doi:10.1007/s00222-009-0200-z

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.

10 pages