2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164873I 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 1.7 pagesDynamical Systemstext