Independence and Alpern Multitowers
Dynamical Systems
2018-06-08 v1
Abstract
Let be any invertible, ergodic, aperiodic measure-preserving transformation of a Lebesgue probability space , and \P\, any finite measurable partition of . We show that a (finite) Alpern multitower may always be constructed whose base is independent of \P.
Keywords
Cite
@article{arxiv.1806.02749,
title = {Independence and Alpern Multitowers},
author = {James T. Campbell and Randall McCutcheon and Alistair Windsor},
journal= {arXiv preprint arXiv:1806.02749},
year = {2018}
}