Quasicrystals: algebraic, combinatorial and geometrical aspects

Details Quasicrystals: algebraic, combinatorial and geometrical aspects Quasicrystals: algebraic, combinatorial and geometrical aspects

2006-03-26

arxiv.org/abs/math-ph/0603065v1

Physics

Mathematical Physics

19 pages, 3 postscript figures, contribution to the Proceedings of NATO School "Physics and Computer Science", Cargese 2005

Scientific paper

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.

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