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

Published online by Cambridge University Press:  01 August 1998

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)

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
Copyright
© 1998 Cambridge University Press

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