{ "id": "1710.08820", "version": "v1", "published": "2017-10-24T15:01:32.000Z", "updated": "2017-10-24T15:01:32.000Z", "title": "Permutation complexity of images of Sturmian words by marked morphisms", "authors": [ "Adam Borchert", "Narad Rampersad" ], "comment": "8 pages", "categories": [ "math.CO", "cs.FL" ], "abstract": "We show that the permutation complexity of the image of a Sturmian word by a binary marked morphism is $n+k$ for some constant $k$ and all lengths $n$ sufficiently large.", "revisions": [ { "version": "v1", "updated": "2017-10-24T15:01:32.000Z" } ], "analyses": { "subjects": [ "68R15" ], "keywords": [ "sturmian word", "permutation complexity", "binary marked morphism" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }