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Constraints on pure point diffraction on aperiodic point patterns of finite local complexity (2107.05671v1)
Published 12 Jul 2021 in math-ph, cond-mat.other, and math.MP
Abstract: It is shown that the partial amplitudes of the pure point part of the diffraction spectrum of an aperiodic Delone point pattern of finite local complexity are linked by a set of linear constraints. These relations can be explicitly derived from the geometry of the prototile space of the underlying tiling.
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