# 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.