Statistical stability for Hénon maps of the Benedicks–Carleson type
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 2, pp. 595-637
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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 :
10.1016/j.anihpc.2009.09.009
Classification :
37C40, 37C75, 37D25
Keywords: Hénon attractor, SRB measure, Statistical stability
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{\textendash}Carleson} type},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {595--637},
publisher = {Elsevier},
volume = {27},
number = {2},
year = {2010},
doi = {10.1016/j.anihpc.2009.09.009},
mrnumber = {2595193},
zbl = {1205.37040},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.009/}
}
TY - JOUR AU - Alves, José F. AU - Carvalho, Maria AU - Freitas, Jorge Milhazes TI - Statistical stability for Hénon maps of the Benedicks–Carleson type JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 595 EP - 637 VL - 27 IS - 2 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.009/ DO - 10.1016/j.anihpc.2009.09.009 LA - en ID - AIHPC_2010__27_2_595_0 ER -
%0 Journal Article %A Alves, José F. %A Carvalho, Maria %A Freitas, Jorge Milhazes %T Statistical stability for Hénon maps of the Benedicks–Carleson type %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 595-637 %V 27 %N 2 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.009/ %R 10.1016/j.anihpc.2009.09.009 %G en %F 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) no. 2, pp. 595-637. doi: 10.1016/j.anihpc.2009.09.009
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