Topological conjugacy of circle diffeomorphisms

Details Topological conjugacy of circle diffeomorphisms Topological conjugacy of circle diffeomorphisms

1995-06-14

arxiv.org/abs/math/9506224v1

Mathematics

Dynamical Systems

Scientific paper

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.

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