Quasicrystals: algebraic, combinatorial and geometrical aspects

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The paper presents mathematical models of quasicrystals with particular attention given to cut-and-project sets. We summarize the properties of higher-dimensional quasicrystal models and then focus on the one-dimensional ones. For the description of their properties we use the methods of combinatorics on words.
19 pages, 3 postscript figures, contribution to the Proceedings of NATO School "Physics and Computer Science", Cargese 2005

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Mathematical Physics, Combinatorics, 52C23 (primary) 68R15 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/110001

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0603065
 http://arxiv.org/abs/math-ph/0603065

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arXiv