Statistical stability for Hénon maps of the Benedicks–Carleson type

Alves, José F.  ; Carvalho, Maria ; Freitas, Jorge Milhazes 

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 2, pp. 595-637.

Résumé

We consider the family of Hénon maps in the plane and show that the SRB measures vary continuously in the weak∗ topology within the set of Benedicks–Carleson parameters.

Détail

DOI : 10.1016/j.anihpc.2009.09.009

Classification : 37C40, 37C75, 37D25
Keywords: Hénon attractor, SRB measure, Statistical stability

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