English

On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips

Dynamical Systems 2018-01-31 v2

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.

Keywords

Cite

@article{arxiv.1510.02362,
  title  = {On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips},
  author = {Alexandra Skripchenko and Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:1510.02362},
  year   = {2018}
}