Author:
Rahe Maurice H.,Rudolph Daniel J.
Abstract
AbstractIt is known that if Ω is a Lebesgue space, T:Ω→Ω is a loosely Bernoulli transformation, and L is a fixed non-zero integer, then the transformation S = TL will again be loosely Bernoulli on each ergodic component. In this note, the above stated result is extended to include the case where L is an arbitrary integrable integer-valued function on Ω.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
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