Shy shadows of infinite-dimensional partially hyperbolic invariant sets

開催日時: 
2018/03/12 Mon 14:00 - 17:00
場所: 
6号館609号室
講演者: 
Daniel Smania
講演者所属: 
ICMC-USP-Sao Carlos, Brazil
概要: 

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.