Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-28T10:41:53.129Z Has data issue: false hasContentIssue false
  • English
  • Français

Partitions with independent iterates along IP-Sets

Published online by Cambridge University Press:  02 April 2001

ANDRES DEL JUNCO ,
KARIN REINHOLD  and
BENJAMIN WEISS
ANDRES DEL JUNCO
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Canada M5S 1A1 (e-mail: [email protected])
KARIN REINHOLD
Affiliation:
Department of Mathematics,SUNY Albany, Albany NY 12222, USA (e-mail: [email protected])
BENJAMIN WEISS
Affiliation:
Department of Mathematics, Hebrew University, Jerusalem, Israel (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We prove a collection of results inspired by Krengel's theorem on the existence of partitions with infinitely many independent iterates in any weakly mixing measure-preserving dynamical system. Our approach avoids Krengel's use of two-fold mixing thereby obtaining stronger results, including characterizations of mild and strong mixing, as well as weak mixing. We also obtain results for non-weakly mixing systems and for more general group actions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 2 , April 1999 , pp. 447 - 473
Copyright
1999 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.)