Quasicrystals, model sets, and automatic sequences

Jean-Paul Allouche; Yves Meyer

doi:10.1016/j.crhy.2013.09.002

Quasicrystals / Quasicristaux

Quasicrystals, model sets, and automatic sequences
[Quasicristaux, ensembles modèles et suites automatiques]

Jean-Paul Allouche ¹ ; Yves Meyer ²

¹ CNRS, Institut de mathématiques de Jussieu, Équipe combinatoire et optimisation, Université Pierre-et-Marie-Curie, case 247, 4, place Jussieu, 75252 Paris Cedex 05, France
² CMLA, Centre de mathématiques et de leurs applications, École normale supérieure de Cachan, 94235 Cachan Cedex, France

Comptes Rendus. Physique, Volume 15 (2014) no. 1, pp. 6-11.

Résumé
Abstract

Nous proposons un tour dʼhorizon des propriétés mathématiques des quasicristaux, dʼabord du point de vue de lʼanalyse harmonique, ensuite du point de vue des suites morphiques et automatiques.

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.

DOI : 10.1016/j.crhy.2013.09.002

Keywords: Quasicrystals, Model sets, Automatic sequences
Mot clés : Quasicristaux, Ensembles modèles, Suites automatiques

Affiliations des auteurs :

Jean-Paul Allouche ¹ ; Yves Meyer ²

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Jean-Paul Allouche; Yves Meyer. Quasicrystals, model sets, and automatic sequences. Comptes Rendus. Physique, Volume 15 (2014) no. 1, pp. 6-11. doi : 10.1016/j.crhy.2013.09.002. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.09.002/

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