Hostname: page-component-5c6d5d7d68-txr5j Total loading time: 0 Render date: 2024-08-16T19:28:37.078Z Has data issue: false hasContentIssue false
  • English
  • Français

${\bi T},{\bi T}^{\bf -1}$ is not standard

Published online by Cambridge University Press:  01 August 1998

DEBORAH HEICKLEN  and
CHRISTOPHER HOFFMAN
DEBORAH HEICKLEN
Affiliation:
Mathematics Department, University of California, Berkeley, CA 94720, USA (e-mail: heicklen@math.berkeley.edu)
CHRISTOPHER HOFFMAN
Affiliation:
Mathematics Department, University of Maryland, College Park, MD 20742, USA (email: hoffman@math.umd.edu)
Get access Rights & Permissions [Opens in a new window]

Abstract

A sequence of random variables, $Y_0,Y_1,Y_2,\ldots\,$, is called standard if there exists a one-sided isomorphism between it and a sequence of independent random variables. In this paper it is demonstrated that the sequence arising from the past of the $T,T^{-1}$ map is not standard.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 4 , August 1998 , pp. 875 - 878
Copyright
© 1998 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.)