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Cyril AllauzenUne caractérisation simple des nombres de SturmJournal de théorie des nombres de Bordeaux,
10 no.
2 (
1998), p. 237-241, doi:
10.5802/jtnb.226
Article
PDF | Reviews
MR 1828243 |
Zbl 0930.11051 |
1 citation in Cedram
A sturmian word is the discretization of a straight line with an irrational slope. A sturmian number is the slope of a substitution invariant sturmian word. These numbers are some quadratic irrationals characterized by the form of their continued fraction expansion. We give a very simple characterization of sturmian numbers : a positive irrational number is Sturmian (of the first kind) if and only if it is quadratic with a negative conjugate.
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