Title :

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

Author(s) :

Bianchi, Fabrizio [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Dinh, Tien-Cuong [Auteur]
National University of Singapore [NUS]

English keyword(s) :

Complex Hénon maps
Exponential mixing of all orders
Central Limit Theorem

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]
Mathématiques [math]/Variables complexes [math.CV]

English abstract : [en]

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.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.Show less >

Language :

Anglais

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Quantisation, singularités et dynamique holomorphe
Dynamique parabolique, bifurcations et domaines errants

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL