Proceedings of the American Mathematical Society

Author(s): Mark Turpin
Journal: Proc. Amer. Math. Soc. 126 (1998), 1851-1856.
MSC (1991): Primary 58F13
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Abstract: We construct an annulus diffeomorphism with the property that a countably dense set of irrational rotation numbers are represented only by pseudocircles on which the diffeomorphism acts minimally but is not semi-conjugate to rigid rotation on the circle. This answers a question of Boyland about whether such behavior is possible only at the maximum or minimum of the rotation set.

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