Shy shadows of infinite-dimensional partially hyperbolic invariant sets.

schedule le mardi 12 septembre 2017 de 10h30 à 12h00

Organisé par : D. Burguet, P-A. Guihéneuf

Intervenant : Daniel Smania (ICMC-USP, Sao Carlos)
Lieu : Salle Paul Lévy, Campus Jussieu (salle 113, Tour 16/26)

Sujet : Shy shadows of infinite-dimensional partially hyperbolic invariant sets.

Résumé :

A classical result by Bowen says (in particular)  that a C^2 horseshoe on a finite-dimensional manifold has zero Lebesgue measure. There are also similar results  by partially hyperbolic invariant sets by Alves and Pinheiro.   We consider the same problem in the infinite-dimensional setting. If times allows we discuss applications to renormalization theory of multimodal maps.