Lattice Substitution Systems and Model Sets

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The paper studies ways in which the sets of a partition of a lattice in $\RR^n$ become regular model sets. The main theorem gives equivalent conditions which assure that a matrix substitution system on a lattice in $\RR^n$ gives rise to regular model sets (based on $p$-adic-like internal spaces), and hence to pure point diffractive sets. The methods developed here are used to show that the $n-$dimensional chair tiling and the sphinx tiling are pure point diffractive.
29 pages, 7 figures

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Metric Geometry, 51F99

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http://salesiana.dossiersoluciones.com/handle/123456789/58618

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0002019
 http://arxiv.org/abs/math/0002019

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arXiv