Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT
Forum of Mathematics, Sigma, Tome 12 (2024)
Voir la notice de l'article provenant de la source Cambridge University Press
We show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for Hölder observables. As a consequence, the Central Limit Theorem holds for all Hölder observables.
@article{10_1017_fms_2023_110,
author = {Fabrizio Bianchi and Tien-Cuong Dinh},
title = {Every complex {H\'enon} map is exponentially mixing of all orders and satisfies the {CLT}},
journal = {Forum of Mathematics, Sigma},
publisher = {mathdoc},
volume = {12},
year = {2024},
doi = {10.1017/fms.2023.110},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.110/}
}
TY - JOUR AU - Fabrizio Bianchi AU - Tien-Cuong Dinh TI - Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT JO - Forum of Mathematics, Sigma PY - 2024 VL - 12 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.110/ DO - 10.1017/fms.2023.110 LA - en ID - 10_1017_fms_2023_110 ER -
%0 Journal Article %A Fabrizio Bianchi %A Tien-Cuong Dinh %T Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT %J Forum of Mathematics, Sigma %D 2024 %V 12 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1017/fms.2023.110/ %R 10.1017/fms.2023.110 %G en %F 10_1017_fms_2023_110
Fabrizio Bianchi; Tien-Cuong Dinh. Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT. Forum of Mathematics, Sigma, Tome 12 (2024). doi: 10.1017/fms.2023.110
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