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

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

2003-11-12

arxiv.org/abs/math/0311193v1

Mathematics

Dynamical Systems

32 pages

Scientific paper

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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