Statistical properties of a skew product with a curve of neutral points

Sébastien Gouëzel (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We study a skew product with a Curve of neutral points. We show that there exists a unique absolutely continuous invariant probability measure, and that the Birkhoff averages of a sufficiently smooth observable converge to a normal law or a stable law, depending on the average of the observable along the neutral curve.

Mots clés: LIMIT-THEOREMS; MAPS

Domaines: Probabilités [math.PR]

Sébastien Gouëzel. Statistical properties of a skew product with a curve of neutral points. Ergodic Theory and Dynamical Systems, 2007, 27 (part 1), pp.123-151. ⟨10.1017/A0143385706000617⟩. ⟨hal-00364574⟩