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Échanges de trois d'intervalles et suites sturmiennes

Gilles Didier — 1997

Journal de théorie des nombres de Bordeaux

On appelle échange d’intervalles l’application qui consiste à réordonner les intervalles d’une partition de [ 0 , 1 [ suivant une permutation donnée. Dans le cas des partitions en trois intervalles, nous donnons une caractérisation combinatoire des suites codant, d’après la partition définissant l’échange, l’orbite d’un point de [ 0 , 1 [ sous l’action de cette transformation.

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