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arXiv · 1510.02362

On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips

Alexandra Skripchenko·Serge Troubetzkoy
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Abstract

We prove linear upper and lower bounds for the Hausdorff dimension set of minimal interval exchange transformations with flips (in particular without periodic points), and a linear lower bound for the Hausdorff dimension of the set of non-uniquely ergodic minimal interval exchange transformations with flips.

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Alexandra Skripchenko, Serge Troubetzkoy. 2016-03-07. On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips. https://doi.org/10.1112/jlms.12099

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