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}
}
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.