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arXiv · 1801.00770

The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2

Jon Chaika·Howard Masur
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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.

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Jon Chaika, Howard Masur. 2018-01-02. The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2. https://arxiv.org/abs/1801.00770

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