R. McCutcheon

collaborators

3 papers

math.DS2018

Independence and Alpern Multitowers

James T. Campbell, Randall McCutcheon, Alistair Windsor

Let $T$ be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space $(X, \calB, μ)$, and ¶\, any finite measurable partition of $X$ . We…

math.DS2018

An Alpern tower independent of a given partition

J. T. Campbell, J. T. Collins, R. King +2

Given a measure-preserving transformation $T$ of a probability space $(X, B, μ)$ and a finite measurable partition $P$ of $X$ , we show how to construct an Alpern tower of…

math.DS2007

Ergodic Theory: Recurrence

Nikos Frantzikinakis, Randall McCutcheon

We survey the impact of the Poincaré recurrence principle in ergodic theory, especially as pertains to the field of ergodic Ramsey theory.