Every complex Hénon map satisfies the Central Limit Theorem - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Every complex Hénon map satisfies the Central Limit Theorem

Résumé

We consider a measurable dynamical system preserving a probability measure $\nu$. If the system is exponentially mixing of all orders for suitable observables, we prove that these observables satisfy the Central Limit Theorem (CLT) with respect to $\nu$. We show that the measure of maximal entropy of every complex Hénon map is exponentially mixing of all orders for Hölder observables. It follows that the CLT holds for all complex Hénon maps and Hölder 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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Citer

Fabrizio Bianchi, Tien-Cuong Dinh. Every complex Hénon map satisfies the Central Limit Theorem. 2023. ⟨hal-03963443v1⟩
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