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SUMMARY:The Hausdorff dimension of not uniquely ergodic 4-IETs has codimen
 sion 1/2. - Chaika\, J (University of Utah)
DTSTART:20140701T080000Z
DTEND:20140701T085000Z
UID:TALK53261@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The main results of this talk are:\na) The Hausdorff dimension
  of not-uniquely 4-IETs is 2 1/2 as a subset of\nthe 3 dimensional simplex
 \nb) The Hausdorff dimension of flat surfaces in H(2) whose vertical flow 
 is\nnot uniquely ergodic is 7 1/2 as a subset of an 8 dimensional space\n 
 c) For almost every flat surface in H(2) the set of directions where the\n
 flow is\nnot uniquely ergodic has Hausdorff dimension 1/2.\n\nThese result
 s all say that the Hausdorff codimension of these exceptional\nsets is 1/2
 .  Masur-Smillie showed that the Hausdorff codimension was less\nthan 1. I
 t follows from work of Masur that the Hausdorff codimension is at\nleast 1
 /2. This is joint work with J. Athreya.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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