Invariant measures on finite rank subshifts

Nicolas Bédaride, Arnaud Hilion, Martin Lustig

Published 2020-07-19Version 1

In this note we show that for any subshift $X$ of finite $S$-rank every invariant measure $\mu$ is determined by its values on finitely many cylinders. Under mild conditions these cylinders are given by the letters of the alphabet in question.