Shy shadows of infinite-dimensional partially hyperbolic invariant sets

Date: 
2018/03/12 Mon 14:00 - 17:00
Room: 
Room 609, Building No.6
Speaker: 
Daniel Smania
Affiliation: 
ICMC-USP-Sao Carlos, Brazil
Abstract: 

A classical result by Bowen says that the stable lamination of a C^2 horseshoe on a finite-dimensional manifold has zero Lebesgue measure. There are also similar results for 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.