A Criterion for an Interval Exchange Map to be Conjugate to an Irrational Rotation

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J. Math. Sci. Univ. Tokyo
Vol. 6 (1999), No. 4, Page 679--690.

Li, Simin
A Criterion for an Interval Exchange Map to be Conjugate to an Irrational Rotation
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Abstract:
A method is given to judge whether a minimal interval exchange map is conjugate to an irrational rotation of the circle in the group of interval exchange maps. It is proved if the number of the discontinuities does not change for a long iteration then it is conjugate to some irrational rotation.

Mathematics Subject Classification (1991): Primary 58F11; Secondary 58F13

Mathematical Reviews Number: MR1742598

Received: 1998-09-24

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