Hostname: page-component-7b7567c8c-mnklg Total loading time: 0 Render date: 2026-11-12T12:06:54.469Z Has data issue: false hasContentIssue false
  • English
  • Français

On Herman's theorem for ergodic, amenable group extensions of endomorphisms

Published online by Cambridge University Press:  18 October 2004

JON AARONSON and
BENJAMIN WEISS
JON AARONSON
Affiliation:
School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel (e-mail: aaro@math.tau.ac.il)
BENJAMIN WEISS
Affiliation:
Institute of Mathematics, Hebrew University of Jerusalem, Jerusalem, Israel (e-mail: weiss@math.huji.ac.il)
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

For any ergodic endomorphism of a non-atomic probability space and any Borel generating set of a locally compact Polish (LCP) amenable group, we construct a measurable function taking values in the generating set so that the skew product generated is ergodic.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 5 , October 2004, pp. 1283 - 1293
Copyright
© 2004 Cambridge University Press