Back to Search Start Over

Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT

Authors :
Fabrizio Bianchi
Tien-Cuong Dinh
Source :
Forum of Mathematics, Sigma, Vol 12 (2024)
Publication Year :
2024
Publisher :
Cambridge University Press, 2024.

Abstract

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.

Details

Language :
English
ISSN :
20505094
Volume :
12
Database :
Directory of Open Access Journals
Journal :
Forum of Mathematics, Sigma
Publication Type :
Academic Journal
Accession number :
edsdoj.0e1af31bb6304de3b92f02cbd7ebf3ef
Document Type :
article
Full Text :
https://doi.org/10.1017/fms.2023.110