Statistical properties of a skew product with a curve of neutral points
Dynamical Systems
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0311193,
title = {Statistical properties of a skew product with a curve of neutral points},
author = {Sebastien Gouezel},
journal= {arXiv preprint arXiv:math/0311193},
year = {2007}
}
Comments
32 pages