{ "id": "math/0611508", "version": "v1", "published": "2006-11-16T17:05:07.000Z", "updated": "2006-11-16T17:05:07.000Z", "title": "Palindromic complexity of infinite words associated with non-simple Parry numbers", "authors": [ "L'ubom{\\'ı}ra Balková", "Zuzana Masáková" ], "comment": "16 pages", "categories": [ "math.CO" ], "abstract": "We study the palindromic complexity of infinite words $u_\\beta$, the fixed points of the substitution over a binary alphabet, $\\phi(0)=0^a1$, $\\phi(1)=0^b1$, with $a-1\\geq b\\geq 1$, which are canonically associated with quadratic non-simple Parry numbers $\\beta$.", "revisions": [ { "version": "v1", "updated": "2006-11-16T17:05:07.000Z" } ], "analyses": { "subjects": [ "68R15", "11A63" ], "keywords": [ "infinite words", "palindromic complexity", "quadratic non-simple parry numbers", "binary alphabet", "substitution" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11508B" } } }