Hostname: page-component-6bb9c88b65-fsdjw Total loading time: 0 Render date: 2025-07-22T11:17:19.369Z Has data issue: false hasContentIssue false
  • English
  • Français

Approximate transitivity for zero-entropy systems

Published online by Cambridge University Press:  16 December 2004

ANTHONY DOOLEY  and
ANTHONY QUAS
ANTHONY DOOLEY
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia (e-mail: a.dooley@unsw.edu.au)
ANTHONY QUAS
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA (e-mail: aquas@memphis.edu)
Get access Rights & Permissions [Opens in a new window]

Abstract

We show that the Morse system is approximately transitive (AT) and that a system of positive entropy cannot be AT. We give examples of zero-entropy systems that are not AT, one of which is a two-point extension of a system that is AT.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 2 , April 2005 , pp. 443 - 453
Copyright
2004 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.)

Article purchase

Temporarily unavailable