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- W2036456427 abstract "A finite word w over an alphabet is said to be bordered if there is a word which is both a proper prefix and a proper suffix of w . In this paper the unbordered factors of the characteristic sequences f ( α ) of irrational numbers α between 0 and 1 are determined. By definition, f ( α ) is the infinite word over the alphabet [lcub]0, 1[rcub] whose n th letter is [( n + l ) α ] − [ nα ], n ⩾ 1. It is proved that the unbordered factors of f ( α ) are precisely the Lyndon α-words over [lcub]0,1[rcub] and their mirror images. As a biproduct, a characterization of α-words is obtained." @default.
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- W2036456427 date "1998-09-01" @default.
- W2036456427 modified "2023-09-29" @default.
- W2036456427 title "Unbordered factors of the characteristic sequences of irrational numbers" @default.
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- W2036456427 doi "https://doi.org/10.1016/s0304-3975(98)00104-2" @default.
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