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Working paper

On the Hausdorff dimension of minimal interval exchange transformations with flips

Skripchenko A., Troubetzkoy S.
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.