$Exponential decay of correlations for a real valued dynamical system embedded in $\mathbb R^2$$

Exponential decay of correlations for a real valued dynamical system embedded in $\mathbb R^2$

We study the real valued process $ \{X_t, t\in {\mathbb N}\} $ defined by $X_{t+2} = \varphi(X_t,X_{t+1})$, where the $X_t$ are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation $\varphi$.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2014-12
Hauptverfasser:	Jager, Lisette, Maes, Jules, Ninet, Alain
Format:	Artikel
Sprache:	eng
Schlagworte:	Decay
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We study the real valued process $ \{X_t, t\in {\mathbb N}\} $ defined by $X_{t+2} = \varphi(X_t,X_{t+1})$, where the $X_t$ are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation $\varphi$.
ISSN:	2331-8422

Zusammenfassung:	We study the real valued process \( \{X_t, t\in {\mathbb N}\} \) defined by \(X_{t+2} = \varphi(X_t,X_{t+1})\), where the \(X_t\) are bounded. We aim at proving the decay of correlations for this model, under regularity assumptions on the transformation \(\varphi\).
ISSN:	2331-8422

Exponential decay of correlations for a real valued dynamical system embedded in \(\mathbb R^2\)