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math.DS2018
An Alpern tower independent of a given partition
J. T. Campbell, J. T. Collins, R. King +2
Given a measure-preserving transformation of a probability space and a finite measurable partition of , we show how to construct an Alpern tower of…
math.DS2011
Non-intersecting splitting algebras in a non-Bernoulli transformation
Steven Kalikow
Given a measure preserving transformation on a Lebesgue algebra, a complete invariant sub algebra is said to split if there is another complete invariant sub $σ…
math.DS2011
Infinite Partitions and Rokhlin Towers
Steven Kalikow
We find a countable partition on\textbf{} a Lebesgue space, labeled \}, for any non-periodic measure preserving transformation such that generates and f…