The complexity threshold for the emergence of Kakutani inequivalence
Dynamical Systems
2020-07-21 v1
Abstract
We show that linear complexity is the threshold for the emergence of Kakutani inequivalence for measurable systems supported on a minimal subshift. In particular, we show that there are minimal subshifts of arbitrarily low super-linear complexity that admit both loosely Bernoulli and non-loosely Bernoulli ergodic measures and that no minimal subshift with linear complexity can admit inequivalent measures.
Keywords
Cite
@article{arxiv.2007.09220,
title = {The complexity threshold for the emergence of Kakutani inequivalence},
author = {Van Cyr and Aimee Johnson and Bryna Kra and Ayse Sahin},
journal= {arXiv preprint arXiv:2007.09220},
year = {2020}
}