Ergodic Theory: Recurrence
We survey the impact of the Poincaré recurrence principle in ergodic theory, especially as pertains to the field of ergodic Ramsey theory.
math.DS↗
arXiv subjects
Randall McCutcheon
Publications and source records attributed to Randall McCutcheon.
Independence and Alpern Multitowers
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 show that a (finite) Alpern multitower may always be constructed whose base is independent of ¶.
math.DS↗