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Topological conjugacy of circle diffeomorphisms

Published online by Cambridge University Press:  17 April 2001

JUN HU  and
DENNIS P. SULLIVAN
JUN HU
Affiliation:
Department of Mathematics, Graduate Center, CUNY, NY 10036, USA
DENNIS P. SULLIVAN
Affiliation:
Department of Mathematics, Graduate Center, CUNY, NY 10036, USA
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 17 , Issue 1 , February 1997 , pp. 173 - 186
Copyright
1997 Cambridge University Press

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