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A curious characteristic property of standard Sturmian words

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Algebraic Combinatorics and Computer Science

Abstract

Sturmian words have been studied for a very long time (Bernoulli [1], Christoffel [3], Markoff [18], Morse and Hedlund [19], Coven and Hedlund [5], Lunnon and Pleasants [17],…). They are infinite words that have exactly n + 1 factors of length n, for each n < 0. Thus they are written in a binary alphabet. Recently a natural and promising generalization to an arbitrary alphabet was presented in [9].

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Pirillo, G. (2001). A curious characteristic property of standard Sturmian words. In: Crapo, H., Senato, D. (eds) Algebraic Combinatorics and Computer Science. Springer, Milano. https://doi.org/10.1007/978-88-470-2107-5_24

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  • DOI: https://doi.org/10.1007/978-88-470-2107-5_24

  • Publisher Name: Springer, Milano

  • Print ISBN: 978-88-470-2159-4

  • Online ISBN: 978-88-470-2107-5

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