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Boshernitzan's criterion for unique ergodicity of an interval exchange transformation

Published online by Cambridge University Press:  19 September 2008

William A. Veech
William A. Veech
Affiliation:
Department of Mathematics, Wiess School of Natural Sciences, Rice University, P.O. Box 1892, Houston, Texas 77251, USA
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Abstract

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Confirming a conjecture by Boshernitzan, it is proved that if T is a minimal non-uniquely ergodic interval exchange, the minimum spacing of the partition determined by Tn is O(1/n).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 1 , March 1987 , pp. 149 - 153
Copyright
Copyright © Cambridge University Press 1987

References

REFERENCES

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