{ "id": "2005.03282", "version": "v1", "published": "2020-05-07T07:00:58.000Z", "updated": "2020-05-07T07:00:58.000Z", "title": "An alternate definition of the Parry measure", "authors": [ "Haritha C", "Nikita Agarwal" ], "categories": [ "math.DS", "math.CO" ], "abstract": "In this paper, we give an alternate definition of the well-known Parry measure on an aperiodic subshift of finite type using correlation between the forbidden words. We use the concept of the local escape rate to obtain this definition. We also compute Perron eigenvectors corresponding to the Perron root of the associated adjacency matrix.", "revisions": [ { "version": "v1", "updated": "2020-05-07T07:00:58.000Z" } ], "analyses": { "keywords": [ "alternate definition", "well-known parry measure", "local escape rate", "finite type", "aperiodic subshift" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }