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Rank two interval exchange transformations*

Published online by Cambridge University Press:  19 September 2008

Michael D. Boshernitzan
Michael D. Boshernitzan
Affiliation:
Department of Mathematics, Rice University, Houston, Texas 77251, USA
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Abstract

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We consider interval exchange transformations T for which the lengths of the exchanged intervals have linear rank 2 over the field of rationals. We prove that, for such T, minimality implies unique ergodicity. We also provide an algorithm which tests T for aperiodicity and minimality.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 8 , Issue 3 , September 1988 , pp. 379 - 394
Copyright
Copyright © Cambridge University Press 1988

References

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