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Characterizations of Finite and Infinite Episturmian Words via Lexicographic Orderings by Amy Glen; Jacques Justin; Giuseppe Pirillo is a Mathematics article available to read on EtoBox.
What is Characterizations of Finite and Infinite Episturmian Words via Lexicographic Orderings about?
In this paper, we characterize by lexicographic order all finite Sturmian and episturmian words, i.e., all (finite) factors of such infinite words. Consequently, we obtain a characterization of infinite episturmian words in a wide sense (episturmian and episkew infinite words). That is, we characterize the set of all infinite words whose factors are (finite) episturmian. Similarly, we characterize by lexicographic order all balanced infinite words over a 2-letter alphabet; in other words, all Sturmian and skew infinite words, the factors of which are (finite) Sturmian.
Who reads Characterizations of Finite and Infinite Episturmian Words via Lexicographic Orderings?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Amy Glen; Jacques Justin; Giuseppe Pirillo
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0195-6698)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)
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