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arXiv:math/0406326 [math.DS]AbstractReferencesReviewsResources

Weak mixing for interval exchange transformations and translation flows

Artur Avila, Giovanni Forni

Published 2004-06-16Version 1

We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus $g \geq 2$ (with prescribed singularity types) is weakly mixing.

Comments: 21 pages, no figures, first version
Categories: math.DS
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