arXiv:math/0311193 Abstract

arXiv:math/0311193 [math.DS]Abstract References Reviews Resources

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

Published 2003-11-12Version 1

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.

Comments: 32 pages

Categories: math.DS

Subjects: 37A50, 37C40, 60F05

Keywords: skew product, neutral points, statistical properties, absolutely continuous invariant probability measure, unique absolutely continuous invariant probability

Related articles: Most relevant | Search more

arXiv:math/0605729 [math.DS] (Published 2006-05-29, updated 2006-10-18)

A generic $C^1$ map has no absolutely continuous invariant probability measure

Artur Avila, Jairo Bochi

arXiv:2107.03130 [math.DS] (Published 2021-07-07)

Invariant Gragh and Random Bony Attractors

F. H. Ghane, M. Rabiee, M. Zaj

arXiv:math/0403273 [math.DS] (Published 2004-03-16, updated 2014-05-04)