GT Théorie Ergodique et Systèmes Dynamiques
Partially hyperbolic diffeomorphisms with a finite number of measures of maximal entropy
09
fév. 2026
fév. 2026
| Intervenant : | Mauricio Poletti |
| Institution : | Universidade Federal do Ceará |
| Heure : | 10h15 - 11h45 |
| Lieu : | IMO, Salle 2L8 |
F. Hertz, M. Hertz, A. Tahzibi, and R. Ures proved that skew products over hyperbolic diffeomorphisms (Anosov) with circle bundles generically have a finite number of measures of maximal entropy.
In this talk I will present a class a class of skew products over partially hyperbolic diffeomorphisms such that there exists a C^1 open and C^r dense set of diffeomorphisms with a finite number of ergodic measures of maximal entropy. This class includes skew products over Derived from Anosov diffeomorphisms T^4 with circle bundles.
This is a joint work with Mongez and Pacifico.