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arXiv · 1806.02749

Independence and Alpern Multitowers

James T. Campbell·Randall McCutcheon·Alistair Windsor
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Abstract

Let $T$ be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space $(X, \calB, \mu)$, 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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James T. Campbell, Randall McCutcheon, Alistair Windsor. 2018-06-07. Independence and Alpern Multitowers. https://arxiv.org/abs/1806.02749

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