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

2011/05/18 by Chaika, Jon
#37A99 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1105.3633

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.

Related

• On the Hausdorff Dimension of Measures for a Non-Uniquely Ergodic Family of Interval Exchange Transformations
• On measures and semiconjugacies for affine interval exchange transformations
• Mild mixing of certain interval exchange transformations
• There exists an interval exchange with a non-ergodic generic measure
• Local dimension for piecewise monotonic maps on the interval