Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

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

Résumé

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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Dates et versions

hal-03963443 , version 1 (30-01-2023)
hal-03963443 , version 2 (23-04-2023)

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Fabrizio Bianchi, Tien-Cuong Dinh. Every complex Hénon map is exponentially mixing of all orders and satisfies the CLT. 2023. ⟨hal-03963443v2⟩
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