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On the Hausdorff dimension of minimal interval exchange transformations with flips

Journal of London Mathematical Society. 2018. Vol. 97. No. 2. P. 149–169.
Skripchenko A., Troubetzkoy S.

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

Priority areas: mathematics
Language: English
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Keywords: ergodicityHausdorff dimensioninterval exchange transformations
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