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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The Hausdorff dimension of not uniquely ergodic 4-IETs has codimension 1/2.

## The Hausdorff dimension of not uniquely ergodic 4-IETs has codimension 1/2.Add to your list(s) Download to your calendar using vCal - Chaika, J (University of Utah)
- Tuesday 01 July 2014, 09:00-09:50
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Interactions between Dynamics of Group Actions and Number Theory The main results of this talk are: a) The Hausdorff dimension of not-uniquely 4-IETs is 2 1/2 as a subset of the 3 dimensional simplex b) The Hausdorff dimension of flat surfaces in H(2) whose vertical flow is not uniquely ergodic is 7 1/2 as a subset of an 8 dimensional space c) For almost every flat surface in H(2) the set of directions where the flow is not uniquely ergodic has Hausdorff dimension 1/2. These results all say that the Hausdorff codimension of these exceptional sets is 1/2. Masur-Smillie showed that the Hausdorff codimension was less than 1. It follows from work of Masur that the Hausdorff codimension is at least 1/2. This is joint work with J. Athreya. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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