Séminaire - Janvier
Le séminaire aura lieu un mercredi par mois de 14h à 15h à l'Institut Henri Poincaré à Paris. Pour télécharger le programme du mois: janvier.pdf.
- 18/01/2017 - Jon Chaika (University of Utah) - salle 421
Titre:
The set of non-uniquely ergodic interval exchanges on n intervals has codimension 1/2
Resumé: Masur
and Veech independently proved that almost every interval exchange is
uniquely ergodic with respect to Lebesgue measure. A natural question
is what is the size of the exceptional set, non-uniquely ergodic
interval exchange transformations? In this talk we show that it is a
set of Hausdorff dimension n-1/2 in an n-dimensional space when n is at
least 4. This is joint work with J. Athreya in the case n=4 and H.
Masur for more intervals.