Skip to main content
Article thumbnail
Location of Repository

STATISTICAL PROPERTIES OF COMPACT GROUP EXTENSIONS OF HYPERBOLIC FLOWS AND THEIR TIME ONE MAPS

By Michael Field, Ian Melbourne, Mathhew Nicol and Andrew Török

Abstract

(Communicated by) Abstract. Recent work of Dolgopyat shows that “typical ” hyperbolic flows exhibit rapid decay of correlations. Melbourne and Török used this result to derive statistical limit laws such as the central limit theorem and the almost sure invariance principle for the time-one map of such flows. In this paper, we extend these results to equivariant observations on compact group extensions of hyperbolic flows and their time one maps

Year: 2009
OAI identifier: oai:CiteSeerX.psu:10.1.1.134.5310
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://math.uh.edu/~mike/dcds/... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.