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arxiv: 1510.02362 · v2 · pith:VMGTJEQMnew · submitted 2015-10-08 · 🧮 math.DS

On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips

classification 🧮 math.DS
keywords dimensionexchangeflipsintervalminimaltransformationshausdorfflinear
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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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