Statistical stability for Hénon maps of the Benedicks–Carleson type
Annales de l'I.H.P. Analyse non linéaire, Volume 27 (2010) no. 2, p. 595-637

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.

DOI : https://doi.org/10.1016/j.anihpc.2009.09.009
Classification:  37C40,  37C75,  37D25
Keywords: Hénon attractor, SRB measure, Statistical stability
@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},
publisher = {Elsevier},
volume = {27},
number = {2},
year = {2010},
pages = {595-637},
doi = {10.1016/j.anihpc.2009.09.009},
zbl = {1205.37040},
mrnumber = {2595193},
language = {en},
url = {http://www.numdam.org/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, Volume 27 (2010) no. 2, pp. 595-637. doi : 10.1016/j.anihpc.2009.09.009. http://www.numdam.org/item/AIHPC_2010__27_2_595_0/

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