Independence and Alpern multitowers

James T. Campbell,Randall McCutcheon,Alistair Windsor

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL（2019）

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摘要

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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关键词

Rohlin tower,Alpern tower,independent sets,measure-preserving transformation,probability space

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