# Séminaires : Séminaire de Systèmes Dynamiques

 Equipe(s) : gd, Responsables : H. Eliasson, B. Fayad, R. Krikorian, P. Le Calvez Email des responsables : Salle : ZOOM ID 857 3353 2552 (code : 666061) Adresse : Campus Pierre et Marie Curie Description Archive avant 2015 Hébergé par le projet Géométrie et Dynamique de l’IMJ

 Orateur(s) Hana Rodriguez Hertz - SUSTech (Chine), Titre Minimality and stable ergodicity Date 05/06/2020 Horaire 14:00 à 15:30 Diffusion Résume We prove that generically in $\diff^{1}_{m}(M)$, if an expanding $f$-invariant foliation $W$ of dimension $u$ is minimal and there is a periodic point of unstable index $u$, the foliation is stably minimal. By this we mean there is a $C^{1}$-neighborhood $\U$ of $f$ such that for all $C^{2}$-diffeomorphisms $g\in \U$, the $g$-invariant continuation of $W$ is minimal. In particular, all such $g$ are topologically mixing. Moreover, all such $g$ have a hyperbolic ergodic component of the volume measure $m$ which is essentially dense. This component is, in fact, Bernoulli. We provide new examples of stably minimal diffeomorphisms which are not partially hyperbolic. Salle ZOOM ID 857 3353 2552 (code : 666061) Adresse Campus Pierre et Marie Curie