English

Herman's Theory Revisited (Extension)

Dynamical Systems 2010-07-05 v3

Abstract

We prove that a C3+βC^{3+\beta}-smooth orientation-preserving circle diffeomorphism with rotation number in Diophantine class DδD_\delta, 0<β<δ<10<\beta<\delta<1, is C2+βδC^{2+\beta-\delta}-smoothly conjugate to a rigid rotation.

Keywords

Cite

@article{arxiv.0707.0078,
  title  = {Herman's Theory Revisited (Extension)},
  author = {Alexey Teplinsky},
  journal= {arXiv preprint arXiv:0707.0078},
  year   = {2010}
}

Comments

12 pages, this paper is a logical continuation of its first reference; aknowledgement added

R2 v1 2026-06-21T08:54:05.469Z