From Quasicrystal to Crystallines
P. Kurasov
Department of Mathematics, Stockholm University, 106 91 Stockholm, Sweden
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The mathematical definitions of quasicrystals and crystallines are discussed within the framework of aperiodic crystals. It is shown that these are two different generalisations of ideal crystals, sharing long-range order and having completely different properties regarding short-range behaviour.

DOI:10.12693/APhysPolA.148.S45
topics: quasicrystal, crystalline measure, Poisson summation formula, metric graphs