Institute for Mathematical Sciences

Preprint ims95-7

J. Hu and D. Sullivan
Topological Conjugacy of Circle Diffeomorphisms

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.

View ims95-7 (PDF format)