33 citations · 71 across the 7 of their papers we have counts for
5 papers · 1 filter
A Note on Shelling
Michael Baake, Uwe Grimm
The radial distribution function is a characteristic geometric quantity of a point set in Euclidean space that reflects itself in the corresponding diffraction spectrum and related…
Diffraction of weighted lattice subsets
Michael Baake
A Dirac comb of point measures in Euclidean space with bounded complex weights that is supported on a lattice inherits certain general properties from the lattice structure. In par…
Averaged shelling for quasicrystals
Michael Baake, Uwe Grimm, Dieter Joseph +1
The shelling of crystals is concerned with counting the number of atoms on spherical shells of a given radius and a fixed centre. Its straight-forward generalization to quasicrysta…
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…
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…