A curious characteristic property of standard Sturmian words

  • G. Pirillo


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].


Common Prefix Infinite Word Binary Alphabet Longe Common Prefix Sturmian Word 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  • G. Pirillo

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