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.
@article{AIHPC_2010__27_2_595_0, author = {Alves, Jos\'e F. and Carvalho, Maria and Freitas, Jorge Milhazes}, title = {Statistical stability for H\'enon maps of the Benedicks--Carleson type}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {27}, year = {2010}, pages = {595-637}, doi = {10.1016/j.anihpc.2009.09.009}, mrnumber = {2595193}, zbl = {1205.37040}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2010__27_2_595_0} }
Alves, José F.; Carvalho, Maria; Freitas, Jorge Milhazes. Statistical stability for Hénon maps of the Benedicks–Carleson type. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) pp. 595-637. doi : 10.1016/j.anihpc.2009.09.009. http://gdmltest.u-ga.fr/item/AIHPC_2010__27_2_595_0/
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