Every complex H{\'e}non map is exponentially mixing of all orders and satisfies the CLT

Fabrizio Bianchi; Tien-Cuong Dinh

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arXiv · 2301.13535

Every complex H{\'e}non map is exponentially mixing of all orders and satisfies the CLT

Fabrizio Bianchi·Tien-Cuong Dinh

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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.

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Fabrizio Bianchi, Tien-Cuong Dinh. 2023-01-31. Every complex H{\'e}non map is exponentially mixing of all orders and satisfies the CLT. https://arxiv.org/abs/2301.13535

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