arXiv subjects

Stephane Le Borgne

Publications and source records attributed to Stephane Le Borgne.

2 recordsLinked to original sources

arXiv2005

Examples of quasi-hyperbolic dynamical systems with slow decay of correlations

We give examples of quasi-hyperbolic dynamical systems with the following properties : polynomial decay of correlations, convergence in law toward a non gaussian law of the ergodic sums (divided by $n^{3/4}$) associated to non degenerated regular functions.

math.DS↗

arXiv2003

Vitesse dans le theoreme limite central pour certains processus stationnaires fortement decorreles

We prove a central limit theorem with speed $n^{-1/2}$ for stationary processes satisfying a strong decorrelation hypothesis. The proof is a modification of the proof of a theorem of Rio. It is elementary but quite long and technical.

math.PR↗