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

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.

Keywords

• 37F80
• 32U05
• 32H50
• 37A25
• 60F05