On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips

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.

References in corpus (3)

• Diffusion for chaotic plane sections of 3-periodic surfaces
• The Hausdorff Dimension of Non-Uniquely Ergodic directions in $\mathcal{H}(2)$ is almost everywhere $1/2$
• Minimality of interval exchange transformations with restrictions

Cited by in corpus (1)

• The limit set of non-orientable mapping class groups