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 Denjoy [ 1 ]. In [ 5 ] one of us gave a new criterion. There is an example satisfying Denjoy's bounded variation condition rather than the Zygmund condition of [ 5 ], and vice versa. This paper will give the third criterion which is implied by either of the above criteria.

Identifiers

DOI

10.1017/s0143385797061002

Citations and references