Every complex H{\'e}non map is exponentially mixing of all orders and satisfies the CLT
Complex Variables
2023-04-25 v2 Dynamical Systems
Abstract
We show that the measure of maximal entropy of every complex H\'enon map is exponentially mixing of all orders for H\''older observables. As a consequence, the Central Limit Theorem holds for all H\''older observables.
Keywords
Cite
@article{arxiv.2301.13535,
title = {Every complex H{\'e}non map is exponentially mixing of all orders and satisfies the CLT},
author = {Fabrizio Bianchi and Tien-Cuong Dinh},
journal= {arXiv preprint arXiv:2301.13535},
year = {2023}
}