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

@inproceedings{Gouezel2003StatisticalPO, title={Statistical properties of a skew product with a curve of neutral points}, author={Sebastien Gouezel}, year={2003} }

- Published 2003

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.