{ "id": "2007.09700", "version": "v1", "published": "2020-07-19T16:05:25.000Z", "updated": "2020-07-19T16:05:25.000Z", "title": "Invariant measures on finite rank subshifts", "authors": [ "Nicolas Bédaride", "Arnaud Hilion", "Martin Lustig" ], "comment": "3 pages", "categories": [ "math.DS" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-07-19T16:05:25.000Z" } ], "analyses": { "keywords": [ "finite rank subshifts", "invariant measure", "mild conditions" ], "note": { "typesetting": "TeX", "pages": 3, "language": "en", "license": "arXiv", "status": "editable" } } }