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math.MG1999
Diffraction from visible lattice points and k-th power free integers
Michael Baake, Robert V. Moody, Peter A. B. Pleasants
We prove that the set of visible points of any lattice of dimension at least 2 has pure point diffraction spectrum, and we determine the diffraction spectrum explicitly. This settl…
math.MG1999
Similarity submodules and root systems in four dimensions
Michael Baake, Robert V. Moody
Lattices and Z-modules in Euclidean space possess an infinitude of subsets that are images of the original set under similarity transformation. We classify such self-similar images…