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On the Hausdorf Dimension of Minimal Interval Exchange Transformations with Flips

Authors
  • Skripchenko, Alexandra
  • Troubetzkoy, Serge
Type
Preprint
Publication Date
Mar 07, 2016
Submission Date
Oct 08, 2015
Identifiers
DOI: 10.1112/jlms.12099
Source
arXiv
License
Yellow
External links

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.

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