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arXiv:1003.5883 [math.DS]AbstractReferencesReviewsResources

Khinchin theorem for interval exchange transformations

Luca Marchese

Published 2010-03-30, updated 2010-12-13Version 2

We define a diophantine condition for interval exchange transformations (i.e.t.s). When the number of intervals is two, that is for rotations on the circle, our condition coincides with classical Khinchin condition. We prove for i.e.t.s the same dichotomy as in Khinchin Theorem. We also develop several results relating the Rauzy-Veech algorithm with homogeneous approximations for i.e.t.s.

Comments: 53 pages
Categories: math.DS
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