Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-24T13:59:32.298Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  28 November 2006

SÉBASTIEN GOUËZEL
SÉBASTIEN GOUËZEL
Affiliation:
IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France (e-mail: sebastien.gouezel@univ-rennes1.fr)
Get access Rights & Permissions [Opens in a new window]

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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 1 , February 2007 , pp. 123 - 151
Copyright
2006 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)