Comptes Rendus
no. 11
Dynamical systems
Exponential decay of correlations for a real-valued dynamical system embedded in R2
[Décroissance des corrélations pour une récurrence à deux termes]

Présenté par : the Editorial Board

Lisette Jager1 ; Jules Maes1 ; Alain Ninet1
1 Laboratoire de mathématiques, FR CNRS 3399, EA 4535, Université de Reims Champagne-Ardenne, Moulin de la Housse, BP 1039, 51687 Reims, France
Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 1041-1045.

On étudie le processus réel {Xt,t∈N} défini par Xt+2=φ(Xt,Xt+1), les Xt étant bornés. Sous des hypothèses de régularité sur la transformation φ, on établit la décroissance des corrélations pour ce modèle.

We study the real valued process {Xt,t∈N} defined by Xt+2=φ(Xt,Xt+1), where the Xt are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation φ.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.07.015
Lisette Jager 1 ; Jules Maes 1 ; Alain Ninet 1

1 Laboratoire de mathématiques, FR CNRS 3399, EA 4535, Université de Reims Champagne-Ardenne, Moulin de la Housse, BP 1039, 51687 Reims, France 
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Lisette Jager; Jules Maes; Alain Ninet. Exponential decay of correlations for a real-valued dynamical system embedded in $ {\mathbb{R}}^{2}$. Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 1041-1045. doi : 10.1016/j.crma.2015.07.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.07.015/

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