JournalsaihpcVol. 27, No. 2pp. 595–637

Statistical stability for Hénon maps of the Benedicks–Carleson type

  • José F. Alves

    Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

  • Maria Carvalho

    Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

  • Jorge Milhazes Freitas

    Centro de Matemática da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal
Statistical stability for Hénon maps of the Benedicks–Carleson type cover
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Abstract

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.

Cite this article

José F. Alves, Maria Carvalho, Jorge Milhazes Freitas, Statistical stability for Hénon maps of the Benedicks–Carleson type. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, pp. 595–637

DOI 10.1016/J.ANIHPC.2009.09.009