Séminaire - Mai
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: mai.pdf.
- 24/05/2017 - Giovanni Forni (University of Maryland) - salle 421
Titre: Bufetov
functionals for Heisenberg nilflows (joint work, in progress, with A.
Kanigowski)
Resumé:We
construct Bufetov functionals for nilpotent flows on (compact)
Heisenberg nilmanifolds. Such functionals were first constructed by
Bufetov for
Interval Exchange Transformations and Translation flows, and later for
horocycle flows by Bufetov and myself. The main applications are
polynomial mixing rates for
non-trivial time-changes (improving on a result by Avila, Ulcigrai and
myself that such flows are mixing), and limit theorems for Heisenberg
nilflows (refining results of Griffin
and Marklof on the related question of limit distributions of theta
sum).