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

Jager, Lisette1 ; Maes, Jules1 ; Ninet, Alain1
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, Tome 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
Jager, Lisette 1 ; Maes, Jules 1 ; Ninet, Alain 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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Jager, Lisette; Maes, Jules; Ninet, Alain. Exponential decay of correlations for a real-valued dynamical system embedded in $ {\mathbb{R}}^{2}$. Comptes Rendus. Mathématique, Tome 353 (2015) no. 11, pp. 1041-1045. doi : 10.1016/j.crma.2015.07.015. http://www.numdam.org/articles/10.1016/j.crma.2015.07.015/

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