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arXiv:0807.2231 [math.DS]AbstractReferencesReviewsResources

Hausdorff dimension for ergodic measures of interval exchange transformations

Jon Chaika

Published 2008-07-14Version 1

I show that there exist minimal interval exchange transformations with an ergodic measure whose Hausdorff dimension is arbitrarily small, even 0. I will also show that in particular cases one can bound the Hausdorff dimension between $\frac 1 {2r+4}$ and $\frac 1 r$ for any r greater than 1.

Comments: 7 pages
Journal: Journal of Modern Dynamics, July 2008 455-462
Categories: math.DS
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