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arXiv · 2007.09700

Invariant measures on finite rank subshifts

Nicolas Bédaride·Arnaud Hilion·Martin Lustig
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Abstract

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.

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Nicolas Bédaride, Arnaud Hilion, Martin Lustig. 2020-07-19. Invariant measures on finite rank subshifts. https://arxiv.org/abs/2007.09700

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