Hausdorff dimension for ergodic measures of interval exchange transformations
classification
🧮 math.DS
keywords
dimensionhausdorffergodicexchangefracintervaltransformationsarbitrarily
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.