Independence and Alpern multitowers

Let T be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space , 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.

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Veröffentlicht in:Dynamical systems (London, England) England), 2019-04, Vol.34 (2), p.239-243
Hauptverfasser: Campbell, James T., McCutcheon, Randall, Windsor, Alistair
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container_title Dynamical systems (London, England)
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creator Campbell, James T.
McCutcheon, Randall
Windsor, Alistair
description Let T be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space , 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.
doi_str_mv 10.1080/14689367.2018.1504891
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subjects Alpern tower
independent sets
measure-preserving transformation
probability space
Rohlin tower
title Independence and Alpern multitowers
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