The complexity threshold for the emergence of Kakutani inequivalence

Autor: Cyr, Van, Johnson, Aimee, Kra, Bryna, Sahin, Ayse
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv