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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