"Independence and Alpern multitowers" by James T. Campbell, Randall McCutcheon et al.
 

Independence and Alpern multitowers

Abstract

Let T be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space (X,B,µ), and P any finite measurable partition of X. We show that a (finite) Alpern multitower may always be constructed whose base is independent of P.

Publication Title

Dynamical Systems

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