English

On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations

Dynamical Systems 2011-05-19 v1

Abstract

We show some results about the Hausdorff dimension of particular minimal but not uniquely ergodic interval exchange transformations. There is an appendix which shows that typical points for two different ergodic measures of an interval exchange can approximate each other differently.

Keywords

Cite

@article{arxiv.1105.3633,
  title  = {On the Hausdorff dimensions of a singular ergodic measure for some minimal interval exchange transformations},
  author = {Jon Chaika},
  journal= {arXiv preprint arXiv:1105.3633},
  year   = {2011}
}