Title :

Exponential mixing of all orders and CLT for automorphisms of compact Kähler manifolds

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) :

Automorphism
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 consider the unique measure of maximal entropy of an automorphism of a compact Kähler manifold with simple action on cohomology. We show that it is exponentially mixing of all orders with respect to Hölder observables. ...
Show more >We consider the unique measure of maximal entropy of an automorphism of a compact Kähler manifold with simple action on cohomology. We show that it is exponentially mixing of all orders with respect to Hölder observables. It follows that the Central Limit Theorem (CLT) holds for these observables. In particular, our result applies to all automorphisms of compact Kähler surfaces with positive entropy.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