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

Sebastien Gouezel
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Abstract

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.

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Sebastien Gouezel. 2003-11-12. Statistical properties of a skew product with a curve of neutral points. https://arxiv.org/abs/math/0311193

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