English

Smooth linearization of commuting circle diffeomorphisms

Dynamical Systems 2007-05-23 v1

Abstract

We show that a finite number of commuting diffeomorphisms with simultaneously Diophantine rotation numbers are smoothly conjugated to roations.

Keywords

Cite

@article{arxiv.math/0605214,
  title  = {Smooth linearization of commuting circle diffeomorphisms},
  author = {Bassam Fayad and Kostantin Khanin},
  journal= {arXiv preprint arXiv:math/0605214},
  year   = {2007}
}