Israel Journal Of Mathematics
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 superlinear complexity that admit both loosely Bernoulli and non-loosely Bernoulli ergodic measures and that no minimal subshift with linear complexity can admit inequivalent measures.
V. Cyr, Aimee S.A. Johnson, B. Kra, and A. Şahİn.
"The Complexity Threshold For The Emergence Of Kakutani Inequivalence".
Israel Journal Of Mathematics.
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