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arxiv: 1401.3725 · v1 · pith:ZMTKF2P6new · submitted 2014-01-15 · 🧮 math-ph · math.MP· math.NT

Quasicrystals, model sets, and automatic sequences

classification 🧮 math-ph math.MPmath.NT
keywords pointautomaticquasicrystalssequencesviewabordanalyseanalysis
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We survey mathematical properties of quasicrystals, first from the point of view of harmonic analysis, then from the point of view of morphic and automatic sequences. Nous proposons un tour d'horizon de propri\'et\'es math\'ematiques des quasicristaux, d'abord du point de vue de l'analyse harmonique, ensuite du point de vue des suites morphiques et automatiques.

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