SEMINAIRE MERCREDI 29 NOVEMBRE 2006
11 heures !!!!!!!
Salle Séminaire 5
Centre de Physique Théorique
Marseille-Luminy

Jorge Milhazes Freitas
Centro de Matemática da Universidade do Porto

Titre: Statistical stability for Hénon maps

Abstract: We consider the Hénon family of maps in the plane. Benedicks
and Carleson have shown the existence of a positive Lebesgue measure
set of parameters for which these maps have a non-hyperbolic "strange"
attractor. Moreover, Benedicks and Young proved that for each of these
parameters the corresponding attractor supports a unique SRB measure.
We show that the map which associates to each Benedicks-Carleson
parameter the respective SRB measure is continuous with respect to
weak* topology in the space of probability measures.