2020/07/17 by Cyr, Van, Johnson, Aimee, Kra, Bryna +1
#37B10 #68R15 #Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2007.09220
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.