The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2
Dynamical Systems
2018-01-03 v1
Abstract
We show that the set of not uniquely ergodic d-IETs has Hausdorff dimension d-3/2 (in the (d-1)-dimension space of d-IETs) for d>4. For d=4 this was shown by Athreya-Chaika and for d=2,3 the set is known to have dimension d-2.
Keywords
Cite
@article{arxiv.1801.00770,
title = {The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2},
author = {Jon Chaika and Howard Masur},
journal= {arXiv preprint arXiv:1801.00770},
year = {2018}
}