Lattice Substitution Systems and Model Sets

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dc.creatorLee, Jeong-Yup
dc.creatorMoody, Robert V.
dc.date2000-02-02
dc.date.accessioned2026-07-07T04:33:33Z
dc.date.available2026-07-07T04:33:33Z
dc.descriptionThe 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.
dc.description29 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/math/0002019
dc.identifierhttp://arxiv.org/abs/math/0002019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58618
dc.subjectMetric Geometry
dc.subject51F99
dc.titleLattice Substitution Systems and Model Sets
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