Topological conjugacy of circle diffeomorphisms
Dynamical Systems
2009-09-25 v1
Abstract
The classical criterion for a circle diffeomorphism to be topologically conjugate to an irrational rigid rotation was given by A. Denjoy. In 1985, one of us (Sullivan) gave a new criterion. There is an example satisfying Denjoy's bounded variation condition rather than Sullivan's Zygmund condition and vice versa. This paper will give the third criterion which is implied by either of the above criteria.
Cite
@article{arxiv.math/9506224,
title = {Topological conjugacy of circle diffeomorphisms},
author = {Jun Hu and Dennis Sullivan},
journal= {arXiv preprint arXiv:math/9506224},
year = {2009}
}