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math.DS2020
A strongly aperiodic shift of finite type on the discrete Heisenberg group using Robinson tilings
Ayse A. Sahin, Michael Schraudner, Ilie Ugarcovici
We explicitly construct a strongly aperiodic subshift of finite type for the discrete Heisenberg group. Our example builds on the classical aperiodic tilings of the plane due to Ra…
math.DS2020
The complexity threshold for the emergence of Kakutani inequivalence
Van Cyr, Aimee Johnson, Bryna Kra +1
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 ther…