Friday, April 22, 2016

On the Kolmogorov typicality of dynamics displaying infinitely many coexisting sinks

Pierre Berger
(Laboratoire Analyse, Géométrie & Applications, Université Paris 13)

Abstract: In this talk we will show that the finiteness of the number of attractor is not typical in the sens of Kolmogorov. Moreover, we will show the existence of an open set of surface map $U$ in which typically in the sens of Kolmogorov-Arnold, the dynamics displays infinitely many attractors. This means that for a $C^r$-generic family $(f_a)_a$ of maps $f_a$ in $U$, for every small parameter $a$, the dynamics $f_a$ displays infinitely many sinks. A part of this work is in collaboration with S. Crovisier et E. Pujals.

Friday, April 22, 2016
Time: 14h00
Room: C6.2.33, Faculdade de Ciências, UL