A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives
Dynamical Systems
2007-05-23 v1
Abstract
We prove that if d is an integer number bigger than 1 and f_1,...,f_d are commuting circle diffeomorphisms respectively of class C^(1+\tau_k), where \tau_1 + ... + \tau_k > 1, then these maps are simultaneously conjugate to rotations provided that their rotation numbers are independent over the rationals.
Cite
@article{arxiv.0704.1006,
title = {A Denjoy Theorem for commuting circle diffeomorphisms with mixed Holder derivatives},
author = {Victor Kleptsyn and Andres Navas},
journal= {arXiv preprint arXiv:0704.1006},
year = {2007}
}
Comments
14 pages, 4 figures